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Simplifying -9m + 1 + -6(m + -4) = 2m + -1(7m + -3) + -8m + 8 Reorder the terms: -9m + 1 + -6(-4 + m) = 2m + -1(7m + -3) + -8m + 8 -9m + 1 + (-4 * -6 + m * -6) = 2m + -1(7m + -3) + -8m + 8 -9m + 1 + (24 + -6m) = 2m + -1(7m + -3) + -8m + 8 Reorder the terms: 1 + 24 + -9m + -6m = 2m + -1(7m + -3) + -8m + 8 Combine like terms: 1 + 24 = 25 25 + -9m + -6m = 2m + -1(7m + -3) + -8m + 8 Combine like terms: -9m + -6m = -15m 25 + -15m = 2m + -1(7m + -3) + -8m + 8 Reorder the terms: 25 + -15m = 2m + -1(-3 + 7m) + -8m + 8 25 + -15m = 2m + (-3 * -1 + 7m * -1) + -8m + 8 25 + -15m = 2m + (3 + -7m) + -8m + 8 Reorder the terms: 25 + -15m = 3 + 8 + 2m + -7m + -8m Combine like terms: 3 + 8 = 11 25 + -15m = 11 + 2m + -7m + -8m Combine like terms: 2m + -7m = -5m 25 + -15m = 11 + -5m + -8m Combine like terms: -5m + -8m = -13m 25 + -15m = 11 + -13m Solving 25 + -15m = 11 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. 25 + -15m + 13m = 11 + -13m + 13m Combine like terms: -15m + 13m = -2m 25 + -2m = 11 + -13m + 13m Combine like terms: -13m + 13m = 0 25 + -2m = 11 + 0 25 + -2m = 11 Add '-25' to each side of the equation. 25 + -25 + -2m = 11 + -25 Combine like terms: 25 + -25 = 0 0 + -2m = 11 + -25 -2m = 11 + -25 Combine like terms: 11 + -25 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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