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Simplifying 5(c + 3) = 3(c + 9) Reorder the terms: 5(3 + c) = 3(c + 9) (3 * 5 + c * 5) = 3(c + 9) (15 + 5c) = 3(c + 9) Reorder the terms: 15 + 5c = 3(9 + c) 15 + 5c = (9 * 3 + c * 3) 15 + 5c = (27 + 3c) Solving 15 + 5c = 27 + 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. 15 + 5c + -3c = 27 + 3c + -3c Combine like terms: 5c + -3c = 2c 15 + 2c = 27 + 3c + -3c Combine like terms: 3c + -3c = 0 15 + 2c = 27 + 0 15 + 2c = 27 Add '-15' to each side of the equation. 15 + -15 + 2c = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2c = 27 + -15 2c = 27 + -15 Combine like terms: 27 + -15 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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