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Simplifying 3m + 31 = 9m + -5 Reorder the terms: 31 + 3m = 9m + -5 Reorder the terms: 31 + 3m = -5 + 9m Solving 31 + 3m = -5 + 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 + 3m + -9m = -5 + 9m + -9m Combine like terms: 3m + -9m = -6m 31 + -6m = -5 + 9m + -9m Combine like terms: 9m + -9m = 0 31 + -6m = -5 + 0 31 + -6m = -5 Add '-31' to each side of the equation. 31 + -31 + -6m = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -6m = -5 + -31 -6m = -5 + -31 Combine like terms: -5 + -31 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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