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Simplifying 5(3m + 4) = 3(4m + 7) Reorder the terms: 5(4 + 3m) = 3(4m + 7) (4 * 5 + 3m * 5) = 3(4m + 7) (20 + 15m) = 3(4m + 7) Reorder the terms: 20 + 15m = 3(7 + 4m) 20 + 15m = (7 * 3 + 4m * 3) 20 + 15m = (21 + 12m) Solving 20 + 15m = 21 + 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. 20 + 15m + -12m = 21 + 12m + -12m Combine like terms: 15m + -12m = 3m 20 + 3m = 21 + 12m + -12m Combine like terms: 12m + -12m = 0 20 + 3m = 21 + 0 20 + 3m = 21 Add '-20' to each side of the equation. 20 + -20 + 3m = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 3m = 21 + -20 3m = 21 + -20 Combine like terms: 21 + -20 = 1 3m = 1 Divide each side by '3'. m = 0.3333333333 Simplifying m = 0.3333333333
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