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Simplifying 3(5 + c) = 2(c + 6) (5 * 3 + c * 3) = 2(c + 6) (15 + 3c) = 2(c + 6) Reorder the terms: 15 + 3c = 2(6 + c) 15 + 3c = (6 * 2 + c * 2) 15 + 3c = (12 + 2c) Solving 15 + 3c = 12 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 15 + 3c + -2c = 12 + 2c + -2c Combine like terms: 3c + -2c = 1c 15 + 1c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 15 + 1c = 12 + 0 15 + 1c = 12 Add '-15' to each side of the equation. 15 + -15 + 1c = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 12 + -15 1c = 12 + -15 Combine like terms: 12 + -15 = -3 1c = -3 Divide each side by '1'. c = -3 Simplifying c = -3
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