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Simplifying -3(2c + -5) = 29 + 8c Reorder the terms: -3(-5 + 2c) = 29 + 8c (-5 * -3 + 2c * -3) = 29 + 8c (15 + -6c) = 29 + 8c Solving 15 + -6c = 29 + 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. 15 + -6c + -8c = 29 + 8c + -8c Combine like terms: -6c + -8c = -14c 15 + -14c = 29 + 8c + -8c Combine like terms: 8c + -8c = 0 15 + -14c = 29 + 0 15 + -14c = 29 Add '-15' to each side of the equation. 15 + -15 + -14c = 29 + -15 Combine like terms: 15 + -15 = 0 0 + -14c = 29 + -15 -14c = 29 + -15 Combine like terms: 29 + -15 = 14 -14c = 14 Divide each side by '-14'. c = -1 Simplifying c = -1
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