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Simplifying -9m + 41 + -9(m + -1) = 5m + -1(7m + -9) + -3m + 2 Reorder the terms: -9m + 41 + -9(-1 + m) = 5m + -1(7m + -9) + -3m + 2 -9m + 41 + (-1 * -9 + m * -9) = 5m + -1(7m + -9) + -3m + 2 -9m + 41 + (9 + -9m) = 5m + -1(7m + -9) + -3m + 2 Reorder the terms: 41 + 9 + -9m + -9m = 5m + -1(7m + -9) + -3m + 2 Combine like terms: 41 + 9 = 50 50 + -9m + -9m = 5m + -1(7m + -9) + -3m + 2 Combine like terms: -9m + -9m = -18m 50 + -18m = 5m + -1(7m + -9) + -3m + 2 Reorder the terms: 50 + -18m = 5m + -1(-9 + 7m) + -3m + 2 50 + -18m = 5m + (-9 * -1 + 7m * -1) + -3m + 2 50 + -18m = 5m + (9 + -7m) + -3m + 2 Reorder the terms: 50 + -18m = 9 + 2 + 5m + -7m + -3m Combine like terms: 9 + 2 = 11 50 + -18m = 11 + 5m + -7m + -3m Combine like terms: 5m + -7m = -2m 50 + -18m = 11 + -2m + -3m Combine like terms: -2m + -3m = -5m 50 + -18m = 11 + -5m Solving 50 + -18m = 11 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 50 + -18m + 5m = 11 + -5m + 5m Combine like terms: -18m + 5m = -13m 50 + -13m = 11 + -5m + 5m Combine like terms: -5m + 5m = 0 50 + -13m = 11 + 0 50 + -13m = 11 Add '-50' to each side of the equation. 50 + -50 + -13m = 11 + -50 Combine like terms: 50 + -50 = 0 0 + -13m = 11 + -50 -13m = 11 + -50 Combine like terms: 11 + -50 = -39 -13m = -39 Divide each side by '-13'. m = 3 Simplifying m = 3
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