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Simplifying -3(c + 8) + -31 = 8c Reorder the terms: -3(8 + c) + -31 = 8c (8 * -3 + c * -3) + -31 = 8c (-24 + -3c) + -31 = 8c Reorder the terms: -24 + -31 + -3c = 8c Combine like terms: -24 + -31 = -55 -55 + -3c = 8c Solving -55 + -3c = 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -55 + -3c + -8c = 8c + -8c Combine like terms: -3c + -8c = -11c -55 + -11c = 8c + -8c Combine like terms: 8c + -8c = 0 -55 + -11c = 0 Add '55' to each side of the equation. -55 + 55 + -11c = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -11c = 0 + 55 -11c = 0 + 55 Combine like terms: 0 + 55 = 55 -11c = 55 Divide each side by '-11'. c = -5 Simplifying c = -5
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