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Simplifying 31 + 4(c + -1) = -1(4c + 5) Reorder the terms: 31 + 4(-1 + c) = -1(4c + 5) 31 + (-1 * 4 + c * 4) = -1(4c + 5) 31 + (-4 + 4c) = -1(4c + 5) Combine like terms: 31 + -4 = 27 27 + 4c = -1(4c + 5) Reorder the terms: 27 + 4c = -1(5 + 4c) 27 + 4c = (5 * -1 + 4c * -1) 27 + 4c = (-5 + -4c) Solving 27 + 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. 27 + 4c + 4c = -5 + -4c + 4c Combine like terms: 4c + 4c = 8c 27 + 8c = -5 + -4c + 4c Combine like terms: -4c + 4c = 0 27 + 8c = -5 + 0 27 + 8c = -5 Add '-27' to each side of the equation. 27 + -27 + 8c = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 8c = -5 + -27 8c = -5 + -27 Combine like terms: -5 + -27 = -32 8c = -32 Divide each side by '8'. c = -4 Simplifying c = -4
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