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Simplifying 31 = 3m + 7 + -1m Reorder the terms: 31 = 7 + 3m + -1m Combine like terms: 3m + -1m = 2m 31 = 7 + 2m Solving 31 = 7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 31 + -2m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 31 + -2m = 7 + 0 31 + -2m = 7 Add '-31' to each side of the equation. 31 + -31 + -2m = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -2m = 7 + -31 -2m = 7 + -31 Combine like terms: 7 + -31 = -24 -2m = -24 Divide each side by '-2'. m = 12 Simplifying m = 12
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