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Simplifying 2(5 + -2m) = -6(3m + -2) (5 * 2 + -2m * 2) = -6(3m + -2) (10 + -4m) = -6(3m + -2) Reorder the terms: 10 + -4m = -6(-2 + 3m) 10 + -4m = (-2 * -6 + 3m * -6) 10 + -4m = (12 + -18m) Solving 10 + -4m = 12 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 10 + -4m + 18m = 12 + -18m + 18m Combine like terms: -4m + 18m = 14m 10 + 14m = 12 + -18m + 18m Combine like terms: -18m + 18m = 0 10 + 14m = 12 + 0 10 + 14m = 12 Add '-10' to each side of the equation. 10 + -10 + 14m = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 14m = 12 + -10 14m = 12 + -10 Combine like terms: 12 + -10 = 2 14m = 2 Divide each side by '14'. m = 0.1428571429 Simplifying m = 0.1428571429
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