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Simplifying 9(3 + c) = 4(3 + c) (3 * 9 + c * 9) = 4(3 + c) (27 + 9c) = 4(3 + c) 27 + 9c = (3 * 4 + c * 4) 27 + 9c = (12 + 4c) Solving 27 + 9c = 12 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 27 + 9c + -4c = 12 + 4c + -4c Combine like terms: 9c + -4c = 5c 27 + 5c = 12 + 4c + -4c Combine like terms: 4c + -4c = 0 27 + 5c = 12 + 0 27 + 5c = 12 Add '-27' to each side of the equation. 27 + -27 + 5c = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5c = 12 + -27 5c = 12 + -27 Combine like terms: 12 + -27 = -15 5c = -15 Divide each side by '5'. c = -3 Simplifying c = -3
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