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Simplifying -7m + 5 + -3(m + -1) = 4m + -1(9m + -9) + -8m + 5 Reorder the terms: -7m + 5 + -3(-1 + m) = 4m + -1(9m + -9) + -8m + 5 -7m + 5 + (-1 * -3 + m * -3) = 4m + -1(9m + -9) + -8m + 5 -7m + 5 + (3 + -3m) = 4m + -1(9m + -9) + -8m + 5 Reorder the terms: 5 + 3 + -7m + -3m = 4m + -1(9m + -9) + -8m + 5 Combine like terms: 5 + 3 = 8 8 + -7m + -3m = 4m + -1(9m + -9) + -8m + 5 Combine like terms: -7m + -3m = -10m 8 + -10m = 4m + -1(9m + -9) + -8m + 5 Reorder the terms: 8 + -10m = 4m + -1(-9 + 9m) + -8m + 5 8 + -10m = 4m + (-9 * -1 + 9m * -1) + -8m + 5 8 + -10m = 4m + (9 + -9m) + -8m + 5 Reorder the terms: 8 + -10m = 9 + 5 + 4m + -9m + -8m Combine like terms: 9 + 5 = 14 8 + -10m = 14 + 4m + -9m + -8m Combine like terms: 4m + -9m = -5m 8 + -10m = 14 + -5m + -8m Combine like terms: -5m + -8m = -13m 8 + -10m = 14 + -13m Solving 8 + -10m = 14 + -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. 8 + -10m + 13m = 14 + -13m + 13m Combine like terms: -10m + 13m = 3m 8 + 3m = 14 + -13m + 13m Combine like terms: -13m + 13m = 0 8 + 3m = 14 + 0 8 + 3m = 14 Add '-8' to each side of the equation. 8 + -8 + 3m = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = 14 + -8 3m = 14 + -8 Combine like terms: 14 + -8 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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