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Simplifying -9m + 35 + -5(m + -2) = 7m + -1(3m + -4) + -5m + 2 Reorder the terms: -9m + 35 + -5(-2 + m) = 7m + -1(3m + -4) + -5m + 2 -9m + 35 + (-2 * -5 + m * -5) = 7m + -1(3m + -4) + -5m + 2 -9m + 35 + (10 + -5m) = 7m + -1(3m + -4) + -5m + 2 Reorder the terms: 35 + 10 + -9m + -5m = 7m + -1(3m + -4) + -5m + 2 Combine like terms: 35 + 10 = 45 45 + -9m + -5m = 7m + -1(3m + -4) + -5m + 2 Combine like terms: -9m + -5m = -14m 45 + -14m = 7m + -1(3m + -4) + -5m + 2 Reorder the terms: 45 + -14m = 7m + -1(-4 + 3m) + -5m + 2 45 + -14m = 7m + (-4 * -1 + 3m * -1) + -5m + 2 45 + -14m = 7m + (4 + -3m) + -5m + 2 Reorder the terms: 45 + -14m = 4 + 2 + 7m + -3m + -5m Combine like terms: 4 + 2 = 6 45 + -14m = 6 + 7m + -3m + -5m Combine like terms: 7m + -3m = 4m 45 + -14m = 6 + 4m + -5m Combine like terms: 4m + -5m = -1m 45 + -14m = 6 + -1m Solving 45 + -14m = 6 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 45 + -14m + m = 6 + -1m + m Combine like terms: -14m + m = -13m 45 + -13m = 6 + -1m + m Combine like terms: -1m + m = 0 45 + -13m = 6 + 0 45 + -13m = 6 Add '-45' to each side of the equation. 45 + -45 + -13m = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -13m = 6 + -45 -13m = 6 + -45 Combine like terms: 6 + -45 = -39 -13m = -39 Divide each side by '-13'. m = 3 Simplifying m = 3
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