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Simplifying -2m + 42 + -9(m + -1) = 4m + -1(6m + -8) + -3m + 7 Reorder the terms: -2m + 42 + -9(-1 + m) = 4m + -1(6m + -8) + -3m + 7 -2m + 42 + (-1 * -9 + m * -9) = 4m + -1(6m + -8) + -3m + 7 -2m + 42 + (9 + -9m) = 4m + -1(6m + -8) + -3m + 7 Reorder the terms: 42 + 9 + -2m + -9m = 4m + -1(6m + -8) + -3m + 7 Combine like terms: 42 + 9 = 51 51 + -2m + -9m = 4m + -1(6m + -8) + -3m + 7 Combine like terms: -2m + -9m = -11m 51 + -11m = 4m + -1(6m + -8) + -3m + 7 Reorder the terms: 51 + -11m = 4m + -1(-8 + 6m) + -3m + 7 51 + -11m = 4m + (-8 * -1 + 6m * -1) + -3m + 7 51 + -11m = 4m + (8 + -6m) + -3m + 7 Reorder the terms: 51 + -11m = 8 + 7 + 4m + -6m + -3m Combine like terms: 8 + 7 = 15 51 + -11m = 15 + 4m + -6m + -3m Combine like terms: 4m + -6m = -2m 51 + -11m = 15 + -2m + -3m Combine like terms: -2m + -3m = -5m 51 + -11m = 15 + -5m Solving 51 + -11m = 15 + -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. 51 + -11m + 5m = 15 + -5m + 5m Combine like terms: -11m + 5m = -6m 51 + -6m = 15 + -5m + 5m Combine like terms: -5m + 5m = 0 51 + -6m = 15 + 0 51 + -6m = 15 Add '-51' to each side of the equation. 51 + -51 + -6m = 15 + -51 Combine like terms: 51 + -51 = 0 0 + -6m = 15 + -51 -6m = 15 + -51 Combine like terms: 15 + -51 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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