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Simplifying -9m + 12 + -5(m + -1) = 2m + -1(7m + -7) + -5m + 2 Reorder the terms: -9m + 12 + -5(-1 + m) = 2m + -1(7m + -7) + -5m + 2 -9m + 12 + (-1 * -5 + m * -5) = 2m + -1(7m + -7) + -5m + 2 -9m + 12 + (5 + -5m) = 2m + -1(7m + -7) + -5m + 2 Reorder the terms: 12 + 5 + -9m + -5m = 2m + -1(7m + -7) + -5m + 2 Combine like terms: 12 + 5 = 17 17 + -9m + -5m = 2m + -1(7m + -7) + -5m + 2 Combine like terms: -9m + -5m = -14m 17 + -14m = 2m + -1(7m + -7) + -5m + 2 Reorder the terms: 17 + -14m = 2m + -1(-7 + 7m) + -5m + 2 17 + -14m = 2m + (-7 * -1 + 7m * -1) + -5m + 2 17 + -14m = 2m + (7 + -7m) + -5m + 2 Reorder the terms: 17 + -14m = 7 + 2 + 2m + -7m + -5m Combine like terms: 7 + 2 = 9 17 + -14m = 9 + 2m + -7m + -5m Combine like terms: 2m + -7m = -5m 17 + -14m = 9 + -5m + -5m Combine like terms: -5m + -5m = -10m 17 + -14m = 9 + -10m Solving 17 + -14m = 9 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 17 + -14m + 10m = 9 + -10m + 10m Combine like terms: -14m + 10m = -4m 17 + -4m = 9 + -10m + 10m Combine like terms: -10m + 10m = 0 17 + -4m = 9 + 0 17 + -4m = 9 Add '-17' to each side of the equation. 17 + -17 + -4m = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -4m = 9 + -17 -4m = 9 + -17 Combine like terms: 9 + -17 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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