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Simplifying -4m + 26 + -3(m + -1) = 6m + -1(7m + -9) + -3m + 8 Reorder the terms: -4m + 26 + -3(-1 + m) = 6m + -1(7m + -9) + -3m + 8 -4m + 26 + (-1 * -3 + m * -3) = 6m + -1(7m + -9) + -3m + 8 -4m + 26 + (3 + -3m) = 6m + -1(7m + -9) + -3m + 8 Reorder the terms: 26 + 3 + -4m + -3m = 6m + -1(7m + -9) + -3m + 8 Combine like terms: 26 + 3 = 29 29 + -4m + -3m = 6m + -1(7m + -9) + -3m + 8 Combine like terms: -4m + -3m = -7m 29 + -7m = 6m + -1(7m + -9) + -3m + 8 Reorder the terms: 29 + -7m = 6m + -1(-9 + 7m) + -3m + 8 29 + -7m = 6m + (-9 * -1 + 7m * -1) + -3m + 8 29 + -7m = 6m + (9 + -7m) + -3m + 8 Reorder the terms: 29 + -7m = 9 + 8 + 6m + -7m + -3m Combine like terms: 9 + 8 = 17 29 + -7m = 17 + 6m + -7m + -3m Combine like terms: 6m + -7m = -1m 29 + -7m = 17 + -1m + -3m Combine like terms: -1m + -3m = -4m 29 + -7m = 17 + -4m Solving 29 + -7m = 17 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 29 + -7m + 4m = 17 + -4m + 4m Combine like terms: -7m + 4m = -3m 29 + -3m = 17 + -4m + 4m Combine like terms: -4m + 4m = 0 29 + -3m = 17 + 0 29 + -3m = 17 Add '-29' to each side of the equation. 29 + -29 + -3m = 17 + -29 Combine like terms: 29 + -29 = 0 0 + -3m = 17 + -29 -3m = 17 + -29 Combine like terms: 17 + -29 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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