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Simplifying -9m + -38 = 13m + -1(10m + 2) Reorder the terms: -38 + -9m = 13m + -1(10m + 2) Reorder the terms: -38 + -9m = 13m + -1(2 + 10m) -38 + -9m = 13m + (2 * -1 + 10m * -1) -38 + -9m = 13m + (-2 + -10m) Reorder the terms: -38 + -9m = -2 + 13m + -10m Combine like terms: 13m + -10m = 3m -38 + -9m = -2 + 3m Solving -38 + -9m = -2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -38 + -9m + -3m = -2 + 3m + -3m Combine like terms: -9m + -3m = -12m -38 + -12m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 -38 + -12m = -2 + 0 -38 + -12m = -2 Add '38' to each side of the equation. -38 + 38 + -12m = -2 + 38 Combine like terms: -38 + 38 = 0 0 + -12m = -2 + 38 -12m = -2 + 38 Combine like terms: -2 + 38 = 36 -12m = 36 Divide each side by '-12'. m = -3 Simplifying m = -3
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