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Simplifying -5m + 39 + -6(m + -2) = 8m + -1(3m + -7) + -9m + 9 Reorder the terms: -5m + 39 + -6(-2 + m) = 8m + -1(3m + -7) + -9m + 9 -5m + 39 + (-2 * -6 + m * -6) = 8m + -1(3m + -7) + -9m + 9 -5m + 39 + (12 + -6m) = 8m + -1(3m + -7) + -9m + 9 Reorder the terms: 39 + 12 + -5m + -6m = 8m + -1(3m + -7) + -9m + 9 Combine like terms: 39 + 12 = 51 51 + -5m + -6m = 8m + -1(3m + -7) + -9m + 9 Combine like terms: -5m + -6m = -11m 51 + -11m = 8m + -1(3m + -7) + -9m + 9 Reorder the terms: 51 + -11m = 8m + -1(-7 + 3m) + -9m + 9 51 + -11m = 8m + (-7 * -1 + 3m * -1) + -9m + 9 51 + -11m = 8m + (7 + -3m) + -9m + 9 Reorder the terms: 51 + -11m = 7 + 9 + 8m + -3m + -9m Combine like terms: 7 + 9 = 16 51 + -11m = 16 + 8m + -3m + -9m Combine like terms: 8m + -3m = 5m 51 + -11m = 16 + 5m + -9m Combine like terms: 5m + -9m = -4m 51 + -11m = 16 + -4m Solving 51 + -11m = 16 + -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. 51 + -11m + 4m = 16 + -4m + 4m Combine like terms: -11m + 4m = -7m 51 + -7m = 16 + -4m + 4m Combine like terms: -4m + 4m = 0 51 + -7m = 16 + 0 51 + -7m = 16 Add '-51' to each side of the equation. 51 + -51 + -7m = 16 + -51 Combine like terms: 51 + -51 = 0 0 + -7m = 16 + -51 -7m = 16 + -51 Combine like terms: 16 + -51 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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