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Simplifying 31 + -3m = 7(1 + -1m) 31 + -3m = (1 * 7 + -1m * 7) 31 + -3m = (7 + -7m) Solving 31 + -3m = 7 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 31 + -3m + 7m = 7 + -7m + 7m Combine like terms: -3m + 7m = 4m 31 + 4m = 7 + -7m + 7m Combine like terms: -7m + 7m = 0 31 + 4m = 7 + 0 31 + 4m = 7 Add '-31' to each side of the equation. 31 + -31 + 4m = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 4m = 7 + -31 4m = 7 + -31 Combine like terms: 7 + -31 = -24 4m = -24 Divide each side by '4'. m = -6 Simplifying m = -6
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