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Simplifying -6(-12 + 6c) = 6(-7c + 5) (-12 * -6 + 6c * -6) = 6(-7c + 5) (72 + -36c) = 6(-7c + 5) Reorder the terms: 72 + -36c = 6(5 + -7c) 72 + -36c = (5 * 6 + -7c * 6) 72 + -36c = (30 + -42c) Solving 72 + -36c = 30 + -42c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42c' to each side of the equation. 72 + -36c + 42c = 30 + -42c + 42c Combine like terms: -36c + 42c = 6c 72 + 6c = 30 + -42c + 42c Combine like terms: -42c + 42c = 0 72 + 6c = 30 + 0 72 + 6c = 30 Add '-72' to each side of the equation. 72 + -72 + 6c = 30 + -72 Combine like terms: 72 + -72 = 0 0 + 6c = 30 + -72 6c = 30 + -72 Combine like terms: 30 + -72 = -42 6c = -42 Divide each side by '6'. c = -7 Simplifying c = -7
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