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Simplifying 19c + 31 = 25c + -74 Reorder the terms: 31 + 19c = 25c + -74 Reorder the terms: 31 + 19c = -74 + 25c Solving 31 + 19c = -74 + 25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25c' to each side of the equation. 31 + 19c + -25c = -74 + 25c + -25c Combine like terms: 19c + -25c = -6c 31 + -6c = -74 + 25c + -25c Combine like terms: 25c + -25c = 0 31 + -6c = -74 + 0 31 + -6c = -74 Add '-31' to each side of the equation. 31 + -31 + -6c = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -6c = -74 + -31 -6c = -74 + -31 Combine like terms: -74 + -31 = -105 -6c = -105 Divide each side by '-6'. c = 17.5 Simplifying c = 17.5
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