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Simplifying 31 + 4m = -5(m + 1) Reorder the terms: 31 + 4m = -5(1 + m) 31 + 4m = (1 * -5 + m * -5) 31 + 4m = (-5 + -5m) Solving 31 + 4m = -5 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 31 + 4m + 5m = -5 + -5m + 5m Combine like terms: 4m + 5m = 9m 31 + 9m = -5 + -5m + 5m Combine like terms: -5m + 5m = 0 31 + 9m = -5 + 0 31 + 9m = -5 Add '-31' to each side of the equation. 31 + -31 + 9m = -5 + -31 Combine like terms: 31 + -31 = 0 0 + 9m = -5 + -31 9m = -5 + -31 Combine like terms: -5 + -31 = -36 9m = -36 Divide each side by '9'. m = -4 Simplifying m = -4
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