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Simplifying 6(9 + c) = 5(3 + c) (9 * 6 + c * 6) = 5(3 + c) (54 + 6c) = 5(3 + c) 54 + 6c = (3 * 5 + c * 5) 54 + 6c = (15 + 5c) Solving 54 + 6c = 15 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 54 + 6c + -5c = 15 + 5c + -5c Combine like terms: 6c + -5c = 1c 54 + 1c = 15 + 5c + -5c Combine like terms: 5c + -5c = 0 54 + 1c = 15 + 0 54 + 1c = 15 Add '-54' to each side of the equation. 54 + -54 + 1c = 15 + -54 Combine like terms: 54 + -54 = 0 0 + 1c = 15 + -54 1c = 15 + -54 Combine like terms: 15 + -54 = -39 1c = -39 Divide each side by '1'. c = -39 Simplifying c = -39
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