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Simplifying 13(4c + -5) = 8c + -4 Reorder the terms: 13(-5 + 4c) = 8c + -4 (-5 * 13 + 4c * 13) = 8c + -4 (-65 + 52c) = 8c + -4 Reorder the terms: -65 + 52c = -4 + 8c Solving -65 + 52c = -4 + 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. -65 + 52c + -8c = -4 + 8c + -8c Combine like terms: 52c + -8c = 44c -65 + 44c = -4 + 8c + -8c Combine like terms: 8c + -8c = 0 -65 + 44c = -4 + 0 -65 + 44c = -4 Add '65' to each side of the equation. -65 + 65 + 44c = -4 + 65 Combine like terms: -65 + 65 = 0 0 + 44c = -4 + 65 44c = -4 + 65 Combine like terms: -4 + 65 = 61 44c = 61 Divide each side by '44'. c = 1.386363636 Simplifying c = 1.386363636
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