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Simplifying 3(5m + 3) = 3(4m + 6) Reorder the terms: 3(3 + 5m) = 3(4m + 6) (3 * 3 + 5m * 3) = 3(4m + 6) (9 + 15m) = 3(4m + 6) Reorder the terms: 9 + 15m = 3(6 + 4m) 9 + 15m = (6 * 3 + 4m * 3) 9 + 15m = (18 + 12m) Solving 9 + 15m = 18 + 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. 9 + 15m + -12m = 18 + 12m + -12m Combine like terms: 15m + -12m = 3m 9 + 3m = 18 + 12m + -12m Combine like terms: 12m + -12m = 0 9 + 3m = 18 + 0 9 + 3m = 18 Add '-9' to each side of the equation. 9 + -9 + 3m = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3m = 18 + -9 3m = 18 + -9 Combine like terms: 18 + -9 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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