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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 Reorder the terms: 28 + 4c = 5 + -4c Solving 28 + 4c = 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. 28 + 4c + 4c = 5 + -4c + 4c Combine like terms: 4c + 4c = 8c 28 + 8c = 5 + -4c + 4c Combine like terms: -4c + 4c = 0 28 + 8c = 5 + 0 28 + 8c = 5 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 = -23 8c = -23 Divide each side by '8'. c = -2.875 Simplifying c = -2.875
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