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Simplifying 13(5c + 2) = 5c + -8 Reorder the terms: 13(2 + 5c) = 5c + -8 (2 * 13 + 5c * 13) = 5c + -8 (26 + 65c) = 5c + -8 Reorder the terms: 26 + 65c = -8 + 5c Solving 26 + 65c = -8 + 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. 26 + 65c + -5c = -8 + 5c + -5c Combine like terms: 65c + -5c = 60c 26 + 60c = -8 + 5c + -5c Combine like terms: 5c + -5c = 0 26 + 60c = -8 + 0 26 + 60c = -8 Add '-26' to each side of the equation. 26 + -26 + 60c = -8 + -26 Combine like terms: 26 + -26 = 0 0 + 60c = -8 + -26 60c = -8 + -26 Combine like terms: -8 + -26 = -34 60c = -34 Divide each side by '60'. c = -0.5666666667 Simplifying c = -0.5666666667
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