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Simplifying a * 1000 + b * 100 + c * 10 + d + e * 1000 + f * 100 + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + b * 100 + c * 10 + d + e * 1000 + f * 100 + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 100b + c * 10 + d + e * 1000 + f * 100 + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 100b + 10c + d + e * 1000 + f * 100 + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 100b + 10c + d + 1000e + f * 100 + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 100b + 10c + d + 1000e + 100f + g * 10 + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 100b + 10c + d + 1000e + 100f + 10g + b = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms: 1000a + 100b + b + 10c + d + 1000e + 100f + 10g = e * 10000 + f * 1000 + c * 100 + b * 10 + h Combine like terms: 100b + b = 101b 1000a + 101b + 10c + d + 1000e + 100f + 10g = e * 10000 + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10000e + f * 1000 + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10000e + 1000f + c * 100 + b * 10 + h Reorder the terms for easier multiplication: 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10000e + 1000f + 100c + b * 10 + h Reorder the terms for easier multiplication: 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10000e + 1000f + 100c + 10b + h Reorder the terms: 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10b + 100c + 10000e + 1000f + h Solving 1000a + 101b + 10c + d + 1000e + 100f + 10g = 10b + 100c + 10000e + 1000f + h Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-101b' to each side of the equation. 1000a + 101b + 10c + d + 1000e + 100f + -101b + 10g = 10b + 100c + 10000e + 1000f + -101b + h Reorder the terms: 1000a + 101b + -101b + 10c + d + 1000e + 100f + 10g = 10b + 100c + 10000e + 1000f + -101b + h Combine like terms: 101b + -101b = 0 1000a + 0 + 10c + d + 1000e + 100f + 10g = 10b + 100c + 10000e + 1000f + -101b + h 1000a + 10c + d + 1000e + 100f + 10g = 10b + 100c + 10000e + 1000f + -101b + h Reorder the terms: 1000a + 10c + d + 1000e + 100f + 10g = 10b + -101b + 100c + 10000e + 1000f + h Combine like terms: 10b + -101b = -91b 1000a + 10c + d + 1000e + 100f + 10g = -91b + 100c + 10000e + 1000f + h Add '-10c' to each side of the equation. 1000a + 10c + d + 1000e + 100f + -10c + 10g = -91b + 100c + 10000e + 1000f + -10c + h Reorder the terms: 1000a + 10c + -10c + d + 1000e + 100f + 10g = -91b + 100c + 10000e + 1000f + -10c + h Combine like terms: 10c + -10c = 0 1000a + 0 + d + 1000e + 100f + 10g = -91b + 100c + 10000e + 1000f + -10c + h 1000a + d + 1000e + 100f + 10g = -91b + 100c + 10000e + 1000f + -10c + h Reorder the terms: 1000a + d + 1000e + 100f + 10g = -91b + 100c + -10c + 10000e + 1000f + h Combine like terms: 100c + -10c = 90c 1000a + d + 1000e + 100f + 10g = -91b + 90c + 10000e + 1000f + h Add '-1d' to each side of the equation. 1000a + d + 1000e + 100f + -1d + 10g = -91b + 90c + 10000e + 1000f + -1d + h Reorder the terms: 1000a + d + -1d + 1000e + 100f + 10g = -91b + 90c + 10000e + 1000f + -1d + h Combine like terms: d + -1d = 0 1000a + 0 + 1000e + 100f + 10g = -91b + 90c + 10000e + 1000f + -1d + h 1000a + 1000e + 100f + 10g = -91b + 90c + 10000e + 1000f + -1d + h Reorder the terms: 1000a + 1000e + 100f + 10g = -91b + 90c + -1d + 10000e + 1000f + h Add '-1000e' to each side of the equation. 1000a + 1000e + 100f + -1000e + 10g = -91b + 90c + -1d + 10000e + 1000f + -1000e + h Reorder the terms: 1000a + 1000e + -1000e + 100f + 10g = -91b + 90c + -1d + 10000e + 1000f + -1000e + h Combine like terms: 1000e + -1000e = 0 1000a + 0 + 100f + 10g = -91b + 90c + -1d + 10000e + 1000f + -1000e + h 1000a + 100f + 10g = -91b + 90c + -1d + 10000e + 1000f + -1000e + h Reorder the terms: 1000a + 100f + 10g = -91b + 90c + -1d + 10000e + -1000e + 1000f + h Combine like terms: 10000e + -1000e = 9000e 1000a + 100f + 10g = -91b + 90c + -1d + 9000e + 1000f + h Add '-100f' to each side of the equation. 1000a + 100f + -100f + 10g = -91b + 90c + -1d + 9000e + 1000f + -100f + h Combine like terms: 100f + -100f = 0 1000a + 0 + 10g = -91b + 90c + -1d + 9000e + 1000f + -100f + h 1000a + 10g = -91b + 90c + -1d + 9000e + 1000f + -100f + h Combine like terms: 1000f + -100f = 900f 1000a + 10g = -91b + 90c + -1d + 9000e + 900f + h Add '-10g' to each side of the equation. 1000a + 10g + -10g = -91b + 90c + -1d + 9000e + 900f + -10g + h Combine like terms: 10g + -10g = 0 1000a + 0 = -91b + 90c + -1d + 9000e + 900f + -10g + h 1000a = -91b + 90c + -1d + 9000e + 900f + -10g + h Divide each side by '1000'. a = -0.091b + 0.09c + -0.001d + 9e + 0.9f + -0.01g + 0.001h Simplifying a = -0.091b + 0.09c + -0.001d + 9e + 0.9f + -0.01g + 0.001h
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