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Simplifying 5(c + 1) = (2c + -4) Reorder the terms: 5(1 + c) = (2c + -4) (1 * 5 + c * 5) = (2c + -4) (5 + 5c) = (2c + -4) Reorder the terms: 5 + 5c = (-4 + 2c) Remove parenthesis around (-4 + 2c) 5 + 5c = -4 + 2c Solving 5 + 5c = -4 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 5 + 5c + -2c = -4 + 2c + -2c Combine like terms: 5c + -2c = 3c 5 + 3c = -4 + 2c + -2c Combine like terms: 2c + -2c = 0 5 + 3c = -4 + 0 5 + 3c = -4 Add '-5' to each side of the equation. 5 + -5 + 3c = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 3c = -4 + -5 3c = -4 + -5 Combine like terms: -4 + -5 = -9 3c = -9 Divide each side by '3'. c = -3 Simplifying c = -3
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