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Simplifying 32 + 4(c + -1) + 4c = -5 Reorder the terms: 32 + 4(-1 + c) + 4c = -5 32 + (-1 * 4 + c * 4) + 4c = -5 32 + (-4 + 4c) + 4c = -5 Combine like terms: 32 + -4 = 28 28 + 4c + 4c = -5 Combine like terms: 4c + 4c = 8c 28 + 8c = -5 Solving 28 + 8c = -5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8c = -5 + -28 Combine like terms: 28 + -28 = 0 0 + 8c = -5 + -28 8c = -5 + -28 Combine like terms: -5 + -28 = -33 8c = -33 Divide each side by '8'. c = -4.125 Simplifying c = -4.125
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