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Simplifying 32 + 4(c + -1) = -1(c + 5) Reorder the terms: 32 + 4(-1 + c) = -1(c + 5) 32 + (-1 * 4 + c * 4) = -1(c + 5) 32 + (-4 + 4c) = -1(c + 5) Combine like terms: 32 + -4 = 28 28 + 4c = -1(c + 5) Reorder the terms: 28 + 4c = -1(5 + c) 28 + 4c = (5 * -1 + c * -1) 28 + 4c = (-5 + -1c) Solving 28 + 4c = -5 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 28 + 4c + c = -5 + -1c + c Combine like terms: 4c + c = 5c 28 + 5c = -5 + -1c + c Combine like terms: -1c + c = 0 28 + 5c = -5 + 0 28 + 5c = -5 Add '-28' to each side of the equation. 28 + -28 + 5c = -5 + -28 Combine like terms: 28 + -28 = 0 0 + 5c = -5 + -28 5c = -5 + -28 Combine like terms: -5 + -28 = -33 5c = -33 Divide each side by '5'. c = -6.6 Simplifying c = -6.6
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