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Simplifying 31 = 5c + -74 Reorder the terms: 31 = -74 + 5c Solving 31 = -74 + 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 = -74 + 5c + -5c Combine like terms: 5c + -5c = 0 31 + -5c = -74 + 0 31 + -5c = -74 Add '-31' to each side of the equation. 31 + -31 + -5c = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -5c = -74 + -31 -5c = -74 + -31 Combine like terms: -74 + -31 = -105 -5c = -105 Divide each side by '-5'. c = 21 Simplifying c = 21
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