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Simplifying -5m + 9 + -9(m + -4) = 6m + -1(8m + -7) + -7m + 8 Reorder the terms: -5m + 9 + -9(-4 + m) = 6m + -1(8m + -7) + -7m + 8 -5m + 9 + (-4 * -9 + m * -9) = 6m + -1(8m + -7) + -7m + 8 -5m + 9 + (36 + -9m) = 6m + -1(8m + -7) + -7m + 8 Reorder the terms: 9 + 36 + -5m + -9m = 6m + -1(8m + -7) + -7m + 8 Combine like terms: 9 + 36 = 45 45 + -5m + -9m = 6m + -1(8m + -7) + -7m + 8 Combine like terms: -5m + -9m = -14m 45 + -14m = 6m + -1(8m + -7) + -7m + 8 Reorder the terms: 45 + -14m = 6m + -1(-7 + 8m) + -7m + 8 45 + -14m = 6m + (-7 * -1 + 8m * -1) + -7m + 8 45 + -14m = 6m + (7 + -8m) + -7m + 8 Reorder the terms: 45 + -14m = 7 + 8 + 6m + -8m + -7m Combine like terms: 7 + 8 = 15 45 + -14m = 15 + 6m + -8m + -7m Combine like terms: 6m + -8m = -2m 45 + -14m = 15 + -2m + -7m Combine like terms: -2m + -7m = -9m 45 + -14m = 15 + -9m Solving 45 + -14m = 15 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 45 + -14m + 9m = 15 + -9m + 9m Combine like terms: -14m + 9m = -5m 45 + -5m = 15 + -9m + 9m Combine like terms: -9m + 9m = 0 45 + -5m = 15 + 0 45 + -5m = 15 Add '-45' to each side of the equation. 45 + -45 + -5m = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -5m = 15 + -45 -5m = 15 + -45 Combine like terms: 15 + -45 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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