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Simplifying -5(3m + -1) = -3(4m + -2) Reorder the terms: -5(-1 + 3m) = -3(4m + -2) (-1 * -5 + 3m * -5) = -3(4m + -2) (5 + -15m) = -3(4m + -2) Reorder the terms: 5 + -15m = -3(-2 + 4m) 5 + -15m = (-2 * -3 + 4m * -3) 5 + -15m = (6 + -12m) Solving 5 + -15m = 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. 5 + -15m + 12m = 6 + -12m + 12m Combine like terms: -15m + 12m = -3m 5 + -3m = 6 + -12m + 12m Combine like terms: -12m + 12m = 0 5 + -3m = 6 + 0 5 + -3m = 6 Add '-5' to each side of the equation. 5 + -5 + -3m = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 6 + -5 -3m = 6 + -5 Combine like terms: 6 + -5 = 1 -3m = 1 Divide each side by '-3'. m = -0.3333333333 Simplifying m = -0.3333333333
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