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Simplifying 19c + 31 = 27c + -74 Reorder the terms: 31 + 19c = 27c + -74 Reorder the terms: 31 + 19c = -74 + 27c Solving 31 + 19c = -74 + 27c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27c' to each side of the equation. 31 + 19c + -27c = -74 + 27c + -27c Combine like terms: 19c + -27c = -8c 31 + -8c = -74 + 27c + -27c Combine like terms: 27c + -27c = 0 31 + -8c = -74 + 0 31 + -8c = -74 Add '-31' to each side of the equation. 31 + -31 + -8c = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -8c = -74 + -31 -8c = -74 + -31 Combine like terms: -74 + -31 = -105 -8c = -105 Divide each side by '-8'. c = 13.125 Simplifying c = 13.125
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