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Simplifying 31 = 6(5c + -9) Reorder the terms: 31 = 6(-9 + 5c) 31 = (-9 * 6 + 5c * 6) 31 = (-54 + 30c) Solving 31 = -54 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 31 + -30c = -54 + 30c + -30c Combine like terms: 30c + -30c = 0 31 + -30c = -54 + 0 31 + -30c = -54 Add '-31' to each side of the equation. 31 + -31 + -30c = -54 + -31 Combine like terms: 31 + -31 = 0 0 + -30c = -54 + -31 -30c = -54 + -31 Combine like terms: -54 + -31 = -85 -30c = -85 Divide each side by '-30'. c = 2.833333333 Simplifying c = 2.833333333
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