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