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Simplifying 9(c + -4) = 3(c + 12) Reorder the terms: 9(-4 + c) = 3(c + 12) (-4 * 9 + c * 9) = 3(c + 12) (-36 + 9c) = 3(c + 12) Reorder the terms: -36 + 9c = 3(12 + c) -36 + 9c = (12 * 3 + c * 3) -36 + 9c = (36 + 3c) Solving -36 + 9c = 36 + 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. -36 + 9c + -3c = 36 + 3c + -3c Combine like terms: 9c + -3c = 6c -36 + 6c = 36 + 3c + -3c Combine like terms: 3c + -3c = 0 -36 + 6c = 36 + 0 -36 + 6c = 36 Add '36' to each side of the equation. -36 + 36 + 6c = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 6c = 36 + 36 6c = 36 + 36 Combine like terms: 36 + 36 = 72 6c = 72 Divide each side by '6'. c = 12 Simplifying c = 12
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