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Simplifying 4a + 7b + 2c + -1d + -10 = 9a + 12b + -3c + 2d + -25 Reorder the terms: -10 + 4a + 7b + 2c + -1d = 9a + 12b + -3c + 2d + -25 Reorder the terms: -10 + 4a + 7b + 2c + -1d = -25 + 9a + 12b + -3c + 2d Solving -10 + 4a + 7b + 2c + -1d = -25 + 9a + 12b + -3c + 2d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -10 + 4a + 7b + 2c + -9a + -1d = -25 + 9a + 12b + -3c + -9a + 2d Reorder the terms: -10 + 4a + -9a + 7b + 2c + -1d = -25 + 9a + 12b + -3c + -9a + 2d Combine like terms: 4a + -9a = -5a -10 + -5a + 7b + 2c + -1d = -25 + 9a + 12b + -3c + -9a + 2d Reorder the terms: -10 + -5a + 7b + 2c + -1d = -25 + 9a + -9a + 12b + -3c + 2d Combine like terms: 9a + -9a = 0 -10 + -5a + 7b + 2c + -1d = -25 + 0 + 12b + -3c + 2d -10 + -5a + 7b + 2c + -1d = -25 + 12b + -3c + 2d Add '10' to each side of the equation. -10 + -5a + 7b + 2c + 10 + -1d = -25 + 12b + -3c + 10 + 2d Reorder the terms: -10 + 10 + -5a + 7b + 2c + -1d = -25 + 12b + -3c + 10 + 2d Combine like terms: -10 + 10 = 0 0 + -5a + 7b + 2c + -1d = -25 + 12b + -3c + 10 + 2d -5a + 7b + 2c + -1d = -25 + 12b + -3c + 10 + 2d Reorder the terms: -5a + 7b + 2c + -1d = -25 + 10 + 12b + -3c + 2d Combine like terms: -25 + 10 = -15 -5a + 7b + 2c + -1d = -15 + 12b + -3c + 2d Add '-7b' to each side of the equation. -5a + 7b + 2c + -7b + -1d = -15 + 12b + -3c + -7b + 2d Reorder the terms: -5a + 7b + -7b + 2c + -1d = -15 + 12b + -3c + -7b + 2d Combine like terms: 7b + -7b = 0 -5a + 0 + 2c + -1d = -15 + 12b + -3c + -7b + 2d -5a + 2c + -1d = -15 + 12b + -3c + -7b + 2d Reorder the terms: -5a + 2c + -1d = -15 + 12b + -7b + -3c + 2d Combine like terms: 12b + -7b = 5b -5a + 2c + -1d = -15 + 5b + -3c + 2d Add '-2c' to each side of the equation. -5a + 2c + -2c + -1d = -15 + 5b + -3c + -2c + 2d Combine like terms: 2c + -2c = 0 -5a + 0 + -1d = -15 + 5b + -3c + -2c + 2d -5a + -1d = -15 + 5b + -3c + -2c + 2d Combine like terms: -3c + -2c = -5c -5a + -1d = -15 + 5b + -5c + 2d Add 'd' to each side of the equation. -5a + -1d + d = -15 + 5b + -5c + 2d + d Combine like terms: -1d + d = 0 -5a + 0 = -15 + 5b + -5c + 2d + d -5a = -15 + 5b + -5c + 2d + d Combine like terms: 2d + d = 3d -5a = -15 + 5b + -5c + 3d Divide each side by '-5'. a = 3 + -1b + c + -0.6d Simplifying a = 3 + -1b + c + -0.6d
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