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Simplifying 6(9 + c) = 5(c + -3) (9 * 6 + c * 6) = 5(c + -3) (54 + 6c) = 5(c + -3) Reorder the terms: 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 = -69 1c = -69 Divide each side by '1'. c = -69 Simplifying c = -69
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