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Simplifying 3(5 + c) = 2(c + 5) (5 * 3 + c * 3) = 2(c + 5) (15 + 3c) = 2(c + 5) Reorder the terms: 15 + 3c = 2(5 + c) 15 + 3c = (5 * 2 + c * 2) 15 + 3c = (10 + 2c) Solving 15 + 3c = 10 + 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 = 10 + 2c + -2c Combine like terms: 3c + -2c = 1c 15 + 1c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 15 + 1c = 10 + 0 15 + 1c = 10 Add '-15' to each side of the equation. 15 + -15 + 1c = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 10 + -15 1c = 10 + -15 Combine like terms: 10 + -15 = -5 1c = -5 Divide each side by '1'. c = -5 Simplifying c = -5
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