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Simplifying 2m + 31 = 85 + -4m Reorder the terms: 31 + 2m = 85 + -4m Solving 31 + 2m = 85 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 31 + 2m + 4m = 85 + -4m + 4m Combine like terms: 2m + 4m = 6m 31 + 6m = 85 + -4m + 4m Combine like terms: -4m + 4m = 0 31 + 6m = 85 + 0 31 + 6m = 85 Add '-31' to each side of the equation. 31 + -31 + 6m = 85 + -31 Combine like terms: 31 + -31 = 0 0 + 6m = 85 + -31 6m = 85 + -31 Combine like terms: 85 + -31 = 54 6m = 54 Divide each side by '6'. m = 9 Simplifying m = 9
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