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Simplifying 13(5c + -6) = 8c + -6 Reorder the terms: 13(-6 + 5c) = 8c + -6 (-6 * 13 + 5c * 13) = 8c + -6 (-78 + 65c) = 8c + -6 Reorder the terms: -78 + 65c = -6 + 8c Solving -78 + 65c = -6 + 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. -78 + 65c + -8c = -6 + 8c + -8c Combine like terms: 65c + -8c = 57c -78 + 57c = -6 + 8c + -8c Combine like terms: 8c + -8c = 0 -78 + 57c = -6 + 0 -78 + 57c = -6 Add '78' to each side of the equation. -78 + 78 + 57c = -6 + 78 Combine like terms: -78 + 78 = 0 0 + 57c = -6 + 78 57c = -6 + 78 Combine like terms: -6 + 78 = 72 57c = 72 Divide each side by '57'. c = 1.263157895 Simplifying c = 1.263157895
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