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Simplifying 31 = 7c + -74 Reorder the terms: 31 = -74 + 7c Solving 31 = -74 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 31 + -7c = -74 + 7c + -7c Combine like terms: 7c + -7c = 0 31 + -7c = -74 + 0 31 + -7c = -74 Add '-31' to each side of the equation. 31 + -31 + -7c = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -7c = -74 + -31 -7c = -74 + -31 Combine like terms: -74 + -31 = -105 -7c = -105 Divide each side by '-7'. c = 15 Simplifying c = 15
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