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Simplifying 31 + 5m = 5 + -1(4m + 1) Reorder the terms: 31 + 5m = 5 + -1(1 + 4m) 31 + 5m = 5 + (1 * -1 + 4m * -1) 31 + 5m = 5 + (-1 + -4m) Combine like terms: 5 + -1 = 4 31 + 5m = 4 + -4m Solving 31 + 5m = 4 + -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 + 5m + 4m = 4 + -4m + 4m Combine like terms: 5m + 4m = 9m 31 + 9m = 4 + -4m + 4m Combine like terms: -4m + 4m = 0 31 + 9m = 4 + 0 31 + 9m = 4 Add '-31' to each side of the equation. 31 + -31 + 9m = 4 + -31 Combine like terms: 31 + -31 = 0 0 + 9m = 4 + -31 9m = 4 + -31 Combine like terms: 4 + -31 = -27 9m = -27 Divide each side by '9'. m = -3 Simplifying m = -3
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