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Simplifying 7(c + -5) + 8 = 4 + c + -31 Reorder the terms: 7(-5 + c) + 8 = 4 + c + -31 (-5 * 7 + c * 7) + 8 = 4 + c + -31 (-35 + 7c) + 8 = 4 + c + -31 Reorder the terms: -35 + 8 + 7c = 4 + c + -31 Combine like terms: -35 + 8 = -27 -27 + 7c = 4 + c + -31 Reorder the terms: -27 + 7c = 4 + -31 + c Combine like terms: 4 + -31 = -27 -27 + 7c = -27 + c Add '27' to each side of the equation. -27 + 27 + 7c = -27 + 27 + c Combine like terms: -27 + 27 = 0 0 + 7c = -27 + 27 + c 7c = -27 + 27 + c Combine like terms: -27 + 27 = 0 7c = 0 + c 7c = c Solving 7c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 7c + -1c = c + -1c Combine like terms: 7c + -1c = 6c 6c = c + -1c Combine like terms: c + -1c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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