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Simplifying 31 = 8c + -9 Reorder the terms: 31 = -9 + 8c Solving 31 = -9 + 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. 31 + -8c = -9 + 8c + -8c Combine like terms: 8c + -8c = 0 31 + -8c = -9 + 0 31 + -8c = -9 Add '-31' to each side of the equation. 31 + -31 + -8c = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -8c = -9 + -31 -8c = -9 + -31 Combine like terms: -9 + -31 = -40 -8c = -40 Divide each side by '-8'. c = 5 Simplifying c = 5
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