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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 = 18 60c = 18 Divide each side by '60'. c = 0.3 Simplifying c = 0.3
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