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Simplifying 31 = 5(1 + 3m) + -2m 31 = (1 * 5 + 3m * 5) + -2m 31 = (5 + 15m) + -2m Combine like terms: 15m + -2m = 13m 31 = 5 + 13m Solving 31 = 5 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 31 + -13m = 5 + 13m + -13m Combine like terms: 13m + -13m = 0 31 + -13m = 5 + 0 31 + -13m = 5 Add '-31' to each side of the equation. 31 + -31 + -13m = 5 + -31 Combine like terms: 31 + -31 = 0 0 + -13m = 5 + -31 -13m = 5 + -31 Combine like terms: 5 + -31 = -26 -13m = -26 Divide each side by '-13'. m = 2 Simplifying m = 2
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