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Simplifying -5(4m + -2) = -2(3 + 6m) Reorder the terms: -5(-2 + 4m) = -2(3 + 6m) (-2 * -5 + 4m * -5) = -2(3 + 6m) (10 + -20m) = -2(3 + 6m) 10 + -20m = (3 * -2 + 6m * -2) 10 + -20m = (-6 + -12m) Solving 10 + -20m = -6 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 10 + -20m + 12m = -6 + -12m + 12m Combine like terms: -20m + 12m = -8m 10 + -8m = -6 + -12m + 12m Combine like terms: -12m + 12m = 0 10 + -8m = -6 + 0 10 + -8m = -6 Add '-10' to each side of the equation. 10 + -10 + -8m = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8m = -6 + -10 -8m = -6 + -10 Combine like terms: -6 + -10 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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