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Simplifying 15 + 12c = 9(c + 15) Reorder the terms: 15 + 12c = 9(15 + c) 15 + 12c = (15 * 9 + c * 9) 15 + 12c = (135 + 9c) Solving 15 + 12c = 135 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 15 + 12c + -9c = 135 + 9c + -9c Combine like terms: 12c + -9c = 3c 15 + 3c = 135 + 9c + -9c Combine like terms: 9c + -9c = 0 15 + 3c = 135 + 0 15 + 3c = 135 Add '-15' to each side of the equation. 15 + -15 + 3c = 135 + -15 Combine like terms: 15 + -15 = 0 0 + 3c = 135 + -15 3c = 135 + -15 Combine like terms: 135 + -15 = 120 3c = 120 Divide each side by '3'. c = 40 Simplifying c = 40
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