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Simplifying -4m + 23 + -9(m + -2) = 2m + -1(5m + -4) + -3m + 2 Reorder the terms: -4m + 23 + -9(-2 + m) = 2m + -1(5m + -4) + -3m + 2 -4m + 23 + (-2 * -9 + m * -9) = 2m + -1(5m + -4) + -3m + 2 -4m + 23 + (18 + -9m) = 2m + -1(5m + -4) + -3m + 2 Reorder the terms: 23 + 18 + -4m + -9m = 2m + -1(5m + -4) + -3m + 2 Combine like terms: 23 + 18 = 41 41 + -4m + -9m = 2m + -1(5m + -4) + -3m + 2 Combine like terms: -4m + -9m = -13m 41 + -13m = 2m + -1(5m + -4) + -3m + 2 Reorder the terms: 41 + -13m = 2m + -1(-4 + 5m) + -3m + 2 41 + -13m = 2m + (-4 * -1 + 5m * -1) + -3m + 2 41 + -13m = 2m + (4 + -5m) + -3m + 2 Reorder the terms: 41 + -13m = 4 + 2 + 2m + -5m + -3m Combine like terms: 4 + 2 = 6 41 + -13m = 6 + 2m + -5m + -3m Combine like terms: 2m + -5m = -3m 41 + -13m = 6 + -3m + -3m Combine like terms: -3m + -3m = -6m 41 + -13m = 6 + -6m Solving 41 + -13m = 6 + -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. 41 + -13m + 6m = 6 + -6m + 6m Combine like terms: -13m + 6m = -7m 41 + -7m = 6 + -6m + 6m Combine like terms: -6m + 6m = 0 41 + -7m = 6 + 0 41 + -7m = 6 Add '-41' to each side of the equation. 41 + -41 + -7m = 6 + -41 Combine like terms: 41 + -41 = 0 0 + -7m = 6 + -41 -7m = 6 + -41 Combine like terms: 6 + -41 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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