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Simplifying -6m + 15 + -8(m + -2) = 5m + -1(3m + -1) + -9m + 2 Reorder the terms: -6m + 15 + -8(-2 + m) = 5m + -1(3m + -1) + -9m + 2 -6m + 15 + (-2 * -8 + m * -8) = 5m + -1(3m + -1) + -9m + 2 -6m + 15 + (16 + -8m) = 5m + -1(3m + -1) + -9m + 2 Reorder the terms: 15 + 16 + -6m + -8m = 5m + -1(3m + -1) + -9m + 2 Combine like terms: 15 + 16 = 31 31 + -6m + -8m = 5m + -1(3m + -1) + -9m + 2 Combine like terms: -6m + -8m = -14m 31 + -14m = 5m + -1(3m + -1) + -9m + 2 Reorder the terms: 31 + -14m = 5m + -1(-1 + 3m) + -9m + 2 31 + -14m = 5m + (-1 * -1 + 3m * -1) + -9m + 2 31 + -14m = 5m + (1 + -3m) + -9m + 2 Reorder the terms: 31 + -14m = 1 + 2 + 5m + -3m + -9m Combine like terms: 1 + 2 = 3 31 + -14m = 3 + 5m + -3m + -9m Combine like terms: 5m + -3m = 2m 31 + -14m = 3 + 2m + -9m Combine like terms: 2m + -9m = -7m 31 + -14m = 3 + -7m Solving 31 + -14m = 3 + -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 + -14m + 7m = 3 + -7m + 7m Combine like terms: -14m + 7m = -7m 31 + -7m = 3 + -7m + 7m Combine like terms: -7m + 7m = 0 31 + -7m = 3 + 0 31 + -7m = 3 Add '-31' to each side of the equation. 31 + -31 + -7m = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -7m = 3 + -31 -7m = 3 + -31 Combine like terms: 3 + -31 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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