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Simplifying -0.3A + -0.5(A + 16) = 0.8(A + 15) Reorder the terms: -0.3A + -0.5(16 + A) = 0.8(A + 15) -0.3A + (16 * -0.5 + A * -0.5) = 0.8(A + 15) -0.3A + (-8 + -0.5A) = 0.8(A + 15) Reorder the terms: -8 + -0.3A + -0.5A = 0.8(A + 15) Combine like terms: -0.3A + -0.5A = -0.8A -8 + -0.8A = 0.8(A + 15) Reorder the terms: -8 + -0.8A = 0.8(15 + A) -8 + -0.8A = (15 * 0.8 + A * 0.8) -8 + -0.8A = (12 + 0.8A) Solving -8 + -0.8A = 12 + 0.8A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-0.8A' to each side of the equation. -8 + -0.8A + -0.8A = 12 + 0.8A + -0.8A Combine like terms: -0.8A + -0.8A = -1.6A -8 + -1.6A = 12 + 0.8A + -0.8A Combine like terms: 0.8A + -0.8A = 0.0 -8 + -1.6A = 12 + 0.0 -8 + -1.6A = 12 Add '8' to each side of the equation. -8 + 8 + -1.6A = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1.6A = 12 + 8 -1.6A = 12 + 8 Combine like terms: 12 + 8 = 20 -1.6A = 20 Divide each side by '-1.6'. A = -12.5 Simplifying A = -12.5
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