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Simplifying -8m + 29 + -5(m + -3) = 5m + -1(9m + -2) + -2m + 7 Reorder the terms: -8m + 29 + -5(-3 + m) = 5m + -1(9m + -2) + -2m + 7 -8m + 29 + (-3 * -5 + m * -5) = 5m + -1(9m + -2) + -2m + 7 -8m + 29 + (15 + -5m) = 5m + -1(9m + -2) + -2m + 7 Reorder the terms: 29 + 15 + -8m + -5m = 5m + -1(9m + -2) + -2m + 7 Combine like terms: 29 + 15 = 44 44 + -8m + -5m = 5m + -1(9m + -2) + -2m + 7 Combine like terms: -8m + -5m = -13m 44 + -13m = 5m + -1(9m + -2) + -2m + 7 Reorder the terms: 44 + -13m = 5m + -1(-2 + 9m) + -2m + 7 44 + -13m = 5m + (-2 * -1 + 9m * -1) + -2m + 7 44 + -13m = 5m + (2 + -9m) + -2m + 7 Reorder the terms: 44 + -13m = 2 + 7 + 5m + -9m + -2m Combine like terms: 2 + 7 = 9 44 + -13m = 9 + 5m + -9m + -2m Combine like terms: 5m + -9m = -4m 44 + -13m = 9 + -4m + -2m Combine like terms: -4m + -2m = -6m 44 + -13m = 9 + -6m Solving 44 + -13m = 9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 44 + -13m + 6m = 9 + -6m + 6m Combine like terms: -13m + 6m = -7m 44 + -7m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 44 + -7m = 9 + 0 44 + -7m = 9 Add '-44' to each side of the equation. 44 + -44 + -7m = 9 + -44 Combine like terms: 44 + -44 = 0 0 + -7m = 9 + -44 -7m = 9 + -44 Combine like terms: 9 + -44 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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