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Simplifying -1m + -2(5m + -7) = -1(3m + 2) Reorder the terms: -1m + -2(-7 + 5m) = -1(3m + 2) -1m + (-7 * -2 + 5m * -2) = -1(3m + 2) -1m + (14 + -10m) = -1(3m + 2) Reorder the terms: 14 + -1m + -10m = -1(3m + 2) Combine like terms: -1m + -10m = -11m 14 + -11m = -1(3m + 2) Reorder the terms: 14 + -11m = -1(2 + 3m) 14 + -11m = (2 * -1 + 3m * -1) 14 + -11m = (-2 + -3m) Solving 14 + -11m = -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. 14 + -11m + 3m = -2 + -3m + 3m Combine like terms: -11m + 3m = -8m 14 + -8m = -2 + -3m + 3m Combine like terms: -3m + 3m = 0 14 + -8m = -2 + 0 14 + -8m = -2 Add '-14' to each side of the equation. 14 + -14 + -8m = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -8m = -2 + -14 -8m = -2 + -14 Combine like terms: -2 + -14 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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