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Simplifying -1(7m + 2) + -6(3m + -1) = 2m + -2(4m + 5) Reorder the terms: -1(2 + 7m) + -6(3m + -1) = 2m + -2(4m + 5) (2 * -1 + 7m * -1) + -6(3m + -1) = 2m + -2(4m + 5) (-2 + -7m) + -6(3m + -1) = 2m + -2(4m + 5) Reorder the terms: -2 + -7m + -6(-1 + 3m) = 2m + -2(4m + 5) -2 + -7m + (-1 * -6 + 3m * -6) = 2m + -2(4m + 5) -2 + -7m + (6 + -18m) = 2m + -2(4m + 5) Reorder the terms: -2 + 6 + -7m + -18m = 2m + -2(4m + 5) Combine like terms: -2 + 6 = 4 4 + -7m + -18m = 2m + -2(4m + 5) Combine like terms: -7m + -18m = -25m 4 + -25m = 2m + -2(4m + 5) Reorder the terms: 4 + -25m = 2m + -2(5 + 4m) 4 + -25m = 2m + (5 * -2 + 4m * -2) 4 + -25m = 2m + (-10 + -8m) Reorder the terms: 4 + -25m = -10 + 2m + -8m Combine like terms: 2m + -8m = -6m 4 + -25m = -10 + -6m Solving 4 + -25m = -10 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 4 + -25m + 6m = -10 + -6m + 6m Combine like terms: -25m + 6m = -19m 4 + -19m = -10 + -6m + 6m Combine like terms: -6m + 6m = 0 4 + -19m = -10 + 0 4 + -19m = -10 Add '-4' to each side of the equation. 4 + -4 + -19m = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -19m = -10 + -4 -19m = -10 + -4 Combine like terms: -10 + -4 = -14 -19m = -14 Divide each side by '-19'. m = 0.7368421053 Simplifying m = 0.7368421053
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