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Simplifying -5(8c + -2) = -15 + 9c Reorder the terms: -5(-2 + 8c) = -15 + 9c (-2 * -5 + 8c * -5) = -15 + 9c (10 + -40c) = -15 + 9c Solving 10 + -40c = -15 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 10 + -40c + -9c = -15 + 9c + -9c Combine like terms: -40c + -9c = -49c 10 + -49c = -15 + 9c + -9c Combine like terms: 9c + -9c = 0 10 + -49c = -15 + 0 10 + -49c = -15 Add '-10' to each side of the equation. 10 + -10 + -49c = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -49c = -15 + -10 -49c = -15 + -10 Combine like terms: -15 + -10 = -25 -49c = -25 Divide each side by '-49'. c = 0.5102040816 Simplifying c = 0.5102040816
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