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Simplifying 4(5 + -3m) = 3(4 + -5m) (5 * 4 + -3m * 4) = 3(4 + -5m) (20 + -12m) = 3(4 + -5m) 20 + -12m = (4 * 3 + -5m * 3) 20 + -12m = (12 + -15m) Solving 20 + -12m = 12 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. 20 + -12m + 15m = 12 + -15m + 15m Combine like terms: -12m + 15m = 3m 20 + 3m = 12 + -15m + 15m Combine like terms: -15m + 15m = 0 20 + 3m = 12 + 0 20 + 3m = 12 Add '-20' to each side of the equation. 20 + -20 + 3m = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 3m = 12 + -20 3m = 12 + -20 Combine like terms: 12 + -20 = -8 3m = -8 Divide each side by '3'. m = -2.666666667 Simplifying m = -2.666666667
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