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Simplifying -3m + 15 + -6(m + -2) = 4m + -1(5m + -7) + -2m + 2 Reorder the terms: -3m + 15 + -6(-2 + m) = 4m + -1(5m + -7) + -2m + 2 -3m + 15 + (-2 * -6 + m * -6) = 4m + -1(5m + -7) + -2m + 2 -3m + 15 + (12 + -6m) = 4m + -1(5m + -7) + -2m + 2 Reorder the terms: 15 + 12 + -3m + -6m = 4m + -1(5m + -7) + -2m + 2 Combine like terms: 15 + 12 = 27 27 + -3m + -6m = 4m + -1(5m + -7) + -2m + 2 Combine like terms: -3m + -6m = -9m 27 + -9m = 4m + -1(5m + -7) + -2m + 2 Reorder the terms: 27 + -9m = 4m + -1(-7 + 5m) + -2m + 2 27 + -9m = 4m + (-7 * -1 + 5m * -1) + -2m + 2 27 + -9m = 4m + (7 + -5m) + -2m + 2 Reorder the terms: 27 + -9m = 7 + 2 + 4m + -5m + -2m Combine like terms: 7 + 2 = 9 27 + -9m = 9 + 4m + -5m + -2m Combine like terms: 4m + -5m = -1m 27 + -9m = 9 + -1m + -2m Combine like terms: -1m + -2m = -3m 27 + -9m = 9 + -3m Solving 27 + -9m = 9 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 27 + -9m + 3m = 9 + -3m + 3m Combine like terms: -9m + 3m = -6m 27 + -6m = 9 + -3m + 3m Combine like terms: -3m + 3m = 0 27 + -6m = 9 + 0 27 + -6m = 9 Add '-27' to each side of the equation. 27 + -27 + -6m = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -6m = 9 + -27 -6m = 9 + -27 Combine like terms: 9 + -27 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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