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Simplifying 32 + 4(6 + -1) = -1(4c + 5) Combine like terms: 6 + -1 = 5 32 + 4(5) = -1(4c + 5) Multiply 4 * 5 32 + 20 = -1(4c + 5) Combine like terms: 32 + 20 = 52 52 = -1(4c + 5) Reorder the terms: 52 = -1(5 + 4c) 52 = (5 * -1 + 4c * -1) 52 = (-5 + -4c) Solving 52 = -5 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 52 + 4c = -5 + -4c + 4c Combine like terms: -4c + 4c = 0 52 + 4c = -5 + 0 52 + 4c = -5 Add '-52' to each side of the equation. 52 + -52 + 4c = -5 + -52 Combine like terms: 52 + -52 = 0 0 + 4c = -5 + -52 4c = -5 + -52 Combine like terms: -5 + -52 = -57 4c = -57 Divide each side by '4'. c = -14.25 Simplifying c = -14.25
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