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Simplifying -2m + 23 + -3(m + -1) = 7m + -1(3m + -9) + -6m + 8 Reorder the terms: -2m + 23 + -3(-1 + m) = 7m + -1(3m + -9) + -6m + 8 -2m + 23 + (-1 * -3 + m * -3) = 7m + -1(3m + -9) + -6m + 8 -2m + 23 + (3 + -3m) = 7m + -1(3m + -9) + -6m + 8 Reorder the terms: 23 + 3 + -2m + -3m = 7m + -1(3m + -9) + -6m + 8 Combine like terms: 23 + 3 = 26 26 + -2m + -3m = 7m + -1(3m + -9) + -6m + 8 Combine like terms: -2m + -3m = -5m 26 + -5m = 7m + -1(3m + -9) + -6m + 8 Reorder the terms: 26 + -5m = 7m + -1(-9 + 3m) + -6m + 8 26 + -5m = 7m + (-9 * -1 + 3m * -1) + -6m + 8 26 + -5m = 7m + (9 + -3m) + -6m + 8 Reorder the terms: 26 + -5m = 9 + 8 + 7m + -3m + -6m Combine like terms: 9 + 8 = 17 26 + -5m = 17 + 7m + -3m + -6m Combine like terms: 7m + -3m = 4m 26 + -5m = 17 + 4m + -6m Combine like terms: 4m + -6m = -2m 26 + -5m = 17 + -2m Solving 26 + -5m = 17 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 26 + -5m + 2m = 17 + -2m + 2m Combine like terms: -5m + 2m = -3m 26 + -3m = 17 + -2m + 2m Combine like terms: -2m + 2m = 0 26 + -3m = 17 + 0 26 + -3m = 17 Add '-26' to each side of the equation. 26 + -26 + -3m = 17 + -26 Combine like terms: 26 + -26 = 0 0 + -3m = 17 + -26 -3m = 17 + -26 Combine like terms: 17 + -26 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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