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Simplifying -2(5 + 7m) = 2(5m + 7) (5 * -2 + 7m * -2) = 2(5m + 7) (-10 + -14m) = 2(5m + 7) Reorder the terms: -10 + -14m = 2(7 + 5m) -10 + -14m = (7 * 2 + 5m * 2) -10 + -14m = (14 + 10m) Solving -10 + -14m = 14 + 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. -10 + -14m + -10m = 14 + 10m + -10m Combine like terms: -14m + -10m = -24m -10 + -24m = 14 + 10m + -10m Combine like terms: 10m + -10m = 0 -10 + -24m = 14 + 0 -10 + -24m = 14 Add '10' to each side of the equation. -10 + 10 + -24m = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -24m = 14 + 10 -24m = 14 + 10 Combine like terms: 14 + 10 = 24 -24m = 24 Divide each side by '-24'. m = -1 Simplifying m = -1
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