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Simplifying 35m + 31 = 20m + -74 Reorder the terms: 31 + 35m = 20m + -74 Reorder the terms: 31 + 35m = -74 + 20m Solving 31 + 35m = -74 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 31 + 35m + -20m = -74 + 20m + -20m Combine like terms: 35m + -20m = 15m 31 + 15m = -74 + 20m + -20m Combine like terms: 20m + -20m = 0 31 + 15m = -74 + 0 31 + 15m = -74 Add '-31' to each side of the equation. 31 + -31 + 15m = -74 + -31 Combine like terms: 31 + -31 = 0 0 + 15m = -74 + -31 15m = -74 + -31 Combine like terms: -74 + -31 = -105 15m = -105 Divide each side by '15'. m = -7 Simplifying m = -7
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