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Simplifying 13(3c + -3) = 8c + -8 Reorder the terms: 13(-3 + 3c) = 8c + -8 (-3 * 13 + 3c * 13) = 8c + -8 (-39 + 39c) = 8c + -8 Reorder the terms: -39 + 39c = -8 + 8c Solving -39 + 39c = -8 + 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. -39 + 39c + -8c = -8 + 8c + -8c Combine like terms: 39c + -8c = 31c -39 + 31c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 -39 + 31c = -8 + 0 -39 + 31c = -8 Add '39' to each side of the equation. -39 + 39 + 31c = -8 + 39 Combine like terms: -39 + 39 = 0 0 + 31c = -8 + 39 31c = -8 + 39 Combine like terms: -8 + 39 = 31 31c = 31 Divide each side by '31'. c = 1 Simplifying c = 1
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