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Simplifying 4(5 + c) = (c + -1) (5 * 4 + c * 4) = (c + -1) (20 + 4c) = (c + -1) Reorder the terms: 20 + 4c = (-1 + c) Remove parenthesis around (-1 + c) 20 + 4c = -1 + c Solving 20 + 4c = -1 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 20 + 4c + -1c = -1 + c + -1c Combine like terms: 4c + -1c = 3c 20 + 3c = -1 + c + -1c Combine like terms: c + -1c = 0 20 + 3c = -1 + 0 20 + 3c = -1 Add '-20' to each side of the equation. 20 + -20 + 3c = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 3c = -1 + -20 3c = -1 + -20 Combine like terms: -1 + -20 = -21 3c = -21 Divide each side by '3'. c = -7 Simplifying c = -7
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