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Simplifying 5m + 31 = 9m + -2 Reorder the terms: 31 + 5m = 9m + -2 Reorder the terms: 31 + 5m = -2 + 9m Solving 31 + 5m = -2 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 31 + 5m + -9m = -2 + 9m + -9m Combine like terms: 5m + -9m = -4m 31 + -4m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 31 + -4m = -2 + 0 31 + -4m = -2 Add '-31' to each side of the equation. 31 + -31 + -4m = -2 + -31 Combine like terms: 31 + -31 = 0 0 + -4m = -2 + -31 -4m = -2 + -31 Combine like terms: -2 + -31 = -33 -4m = -33 Divide each side by '-4'. m = 8.25 Simplifying m = 8.25
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