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Simplifying -9m + 18 + -5(m + -2) = 2m + -1(6m + -4) + -7m + 9 Reorder the terms: -9m + 18 + -5(-2 + m) = 2m + -1(6m + -4) + -7m + 9 -9m + 18 + (-2 * -5 + m * -5) = 2m + -1(6m + -4) + -7m + 9 -9m + 18 + (10 + -5m) = 2m + -1(6m + -4) + -7m + 9 Reorder the terms: 18 + 10 + -9m + -5m = 2m + -1(6m + -4) + -7m + 9 Combine like terms: 18 + 10 = 28 28 + -9m + -5m = 2m + -1(6m + -4) + -7m + 9 Combine like terms: -9m + -5m = -14m 28 + -14m = 2m + -1(6m + -4) + -7m + 9 Reorder the terms: 28 + -14m = 2m + -1(-4 + 6m) + -7m + 9 28 + -14m = 2m + (-4 * -1 + 6m * -1) + -7m + 9 28 + -14m = 2m + (4 + -6m) + -7m + 9 Reorder the terms: 28 + -14m = 4 + 9 + 2m + -6m + -7m Combine like terms: 4 + 9 = 13 28 + -14m = 13 + 2m + -6m + -7m Combine like terms: 2m + -6m = -4m 28 + -14m = 13 + -4m + -7m Combine like terms: -4m + -7m = -11m 28 + -14m = 13 + -11m Solving 28 + -14m = 13 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 28 + -14m + 11m = 13 + -11m + 11m Combine like terms: -14m + 11m = -3m 28 + -3m = 13 + -11m + 11m Combine like terms: -11m + 11m = 0 28 + -3m = 13 + 0 28 + -3m = 13 Add '-28' to each side of the equation. 28 + -28 + -3m = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -3m = 13 + -28 -3m = 13 + -28 Combine like terms: 13 + -28 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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