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Simplifying -8m + 10 + -5(m + -1) = 2m + -1(9m + -7) + -3m + 2 Reorder the terms: -8m + 10 + -5(-1 + m) = 2m + -1(9m + -7) + -3m + 2 -8m + 10 + (-1 * -5 + m * -5) = 2m + -1(9m + -7) + -3m + 2 -8m + 10 + (5 + -5m) = 2m + -1(9m + -7) + -3m + 2 Reorder the terms: 10 + 5 + -8m + -5m = 2m + -1(9m + -7) + -3m + 2 Combine like terms: 10 + 5 = 15 15 + -8m + -5m = 2m + -1(9m + -7) + -3m + 2 Combine like terms: -8m + -5m = -13m 15 + -13m = 2m + -1(9m + -7) + -3m + 2 Reorder the terms: 15 + -13m = 2m + -1(-7 + 9m) + -3m + 2 15 + -13m = 2m + (-7 * -1 + 9m * -1) + -3m + 2 15 + -13m = 2m + (7 + -9m) + -3m + 2 Reorder the terms: 15 + -13m = 7 + 2 + 2m + -9m + -3m Combine like terms: 7 + 2 = 9 15 + -13m = 9 + 2m + -9m + -3m Combine like terms: 2m + -9m = -7m 15 + -13m = 9 + -7m + -3m Combine like terms: -7m + -3m = -10m 15 + -13m = 9 + -10m Solving 15 + -13m = 9 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 15 + -13m + 10m = 9 + -10m + 10m Combine like terms: -13m + 10m = -3m 15 + -3m = 9 + -10m + 10m Combine like terms: -10m + 10m = 0 15 + -3m = 9 + 0 15 + -3m = 9 Add '-15' to each side of the equation. 15 + -15 + -3m = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3m = 9 + -15 -3m = 9 + -15 Combine like terms: 9 + -15 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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