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Simplifying -3m + 13 + -9(m + -2) = 7m + -1(5m + -2) + -6m + 5 Reorder the terms: -3m + 13 + -9(-2 + m) = 7m + -1(5m + -2) + -6m + 5 -3m + 13 + (-2 * -9 + m * -9) = 7m + -1(5m + -2) + -6m + 5 -3m + 13 + (18 + -9m) = 7m + -1(5m + -2) + -6m + 5 Reorder the terms: 13 + 18 + -3m + -9m = 7m + -1(5m + -2) + -6m + 5 Combine like terms: 13 + 18 = 31 31 + -3m + -9m = 7m + -1(5m + -2) + -6m + 5 Combine like terms: -3m + -9m = -12m 31 + -12m = 7m + -1(5m + -2) + -6m + 5 Reorder the terms: 31 + -12m = 7m + -1(-2 + 5m) + -6m + 5 31 + -12m = 7m + (-2 * -1 + 5m * -1) + -6m + 5 31 + -12m = 7m + (2 + -5m) + -6m + 5 Reorder the terms: 31 + -12m = 2 + 5 + 7m + -5m + -6m Combine like terms: 2 + 5 = 7 31 + -12m = 7 + 7m + -5m + -6m Combine like terms: 7m + -5m = 2m 31 + -12m = 7 + 2m + -6m Combine like terms: 2m + -6m = -4m 31 + -12m = 7 + -4m Solving 31 + -12m = 7 + -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 + -12m + 4m = 7 + -4m + 4m Combine like terms: -12m + 4m = -8m 31 + -8m = 7 + -4m + 4m Combine like terms: -4m + 4m = 0 31 + -8m = 7 + 0 31 + -8m = 7 Add '-31' to each side of the equation. 31 + -31 + -8m = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -8m = 7 + -31 -8m = 7 + -31 Combine like terms: 7 + -31 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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