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Simplifying -1(5c + -9) + c = 3(c + -1) + 12 Reorder the terms: -1(-9 + 5c) + c = 3(c + -1) + 12 (-9 * -1 + 5c * -1) + c = 3(c + -1) + 12 (9 + -5c) + c = 3(c + -1) + 12 Combine like terms: -5c + c = -4c 9 + -4c = 3(c + -1) + 12 Reorder the terms: 9 + -4c = 3(-1 + c) + 12 9 + -4c = (-1 * 3 + c * 3) + 12 9 + -4c = (-3 + 3c) + 12 Reorder the terms: 9 + -4c = -3 + 12 + 3c Combine like terms: -3 + 12 = 9 9 + -4c = 9 + 3c Add '-9' to each side of the equation. 9 + -9 + -4c = 9 + -9 + 3c Combine like terms: 9 + -9 = 0 0 + -4c = 9 + -9 + 3c -4c = 9 + -9 + 3c Combine like terms: 9 + -9 = 0 -4c = 0 + 3c -4c = 3c Solving -4c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -4c + -3c = 3c + -3c Combine like terms: -4c + -3c = -7c -7c = 3c + -3c Combine like terms: 3c + -3c = 0 -7c = 0 Divide each side by '-7'. c = 0 Simplifying c = 0
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