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Simplifying 7(5c + 9) = -24 + 8c Reorder the terms: 7(9 + 5c) = -24 + 8c (9 * 7 + 5c * 7) = -24 + 8c (63 + 35c) = -24 + 8c Solving 63 + 35c = -24 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 63 + 35c + -8c = -24 + 8c + -8c Combine like terms: 35c + -8c = 27c 63 + 27c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 63 + 27c = -24 + 0 63 + 27c = -24 Add '-63' to each side of the equation. 63 + -63 + 27c = -24 + -63 Combine like terms: 63 + -63 = 0 0 + 27c = -24 + -63 27c = -24 + -63 Combine like terms: -24 + -63 = -87 27c = -87 Divide each side by '27'. c = -3.222222222 Simplifying c = -3.222222222
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