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Simplifying 31 = 3 + 5(c + 8) Reorder the terms: 31 = 3 + 5(8 + c) 31 = 3 + (8 * 5 + c * 5) 31 = 3 + (40 + 5c) Combine like terms: 3 + 40 = 43 31 = 43 + 5c Solving 31 = 43 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 31 + -5c = 43 + 5c + -5c Combine like terms: 5c + -5c = 0 31 + -5c = 43 + 0 31 + -5c = 43 Add '-31' to each side of the equation. 31 + -31 + -5c = 43 + -31 Combine like terms: 31 + -31 = 0 0 + -5c = 43 + -31 -5c = 43 + -31 Combine like terms: 43 + -31 = 12 -5c = 12 Divide each side by '-5'. c = -2.4 Simplifying c = -2.4
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