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Simplifying 15 + 3c = -6(7c + 20) Reorder the terms: 15 + 3c = -6(20 + 7c) 15 + 3c = (20 * -6 + 7c * -6) 15 + 3c = (-120 + -42c) Solving 15 + 3c = -120 + -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. 15 + 3c + 42c = -120 + -42c + 42c Combine like terms: 3c + 42c = 45c 15 + 45c = -120 + -42c + 42c Combine like terms: -42c + 42c = 0 15 + 45c = -120 + 0 15 + 45c = -120 Add '-15' to each side of the equation. 15 + -15 + 45c = -120 + -15 Combine like terms: 15 + -15 = 0 0 + 45c = -120 + -15 45c = -120 + -15 Combine like terms: -120 + -15 = -135 45c = -135 Divide each side by '45'. c = -3 Simplifying c = -3
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