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Simplifying 4(2c + 1) = 5(c + -1) Reorder the terms: 4(1 + 2c) = 5(c + -1) (1 * 4 + 2c * 4) = 5(c + -1) (4 + 8c) = 5(c + -1) Reorder the terms: 4 + 8c = 5(-1 + c) 4 + 8c = (-1 * 5 + c * 5) 4 + 8c = (-5 + 5c) Solving 4 + 8c = -5 + 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. 4 + 8c + -5c = -5 + 5c + -5c Combine like terms: 8c + -5c = 3c 4 + 3c = -5 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + 3c = -5 + 0 4 + 3c = -5 Add '-4' to each side of the equation. 4 + -4 + 3c = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3c = -5 + -4 3c = -5 + -4 Combine like terms: -5 + -4 = -9 3c = -9 Divide each side by '3'. c = -3 Simplifying c = -3
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