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Simplifying 6(4m + 9) = 3(5m + 24) Reorder the terms: 6(9 + 4m) = 3(5m + 24) (9 * 6 + 4m * 6) = 3(5m + 24) (54 + 24m) = 3(5m + 24) Reorder the terms: 54 + 24m = 3(24 + 5m) 54 + 24m = (24 * 3 + 5m * 3) 54 + 24m = (72 + 15m) Solving 54 + 24m = 72 + 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. 54 + 24m + -15m = 72 + 15m + -15m Combine like terms: 24m + -15m = 9m 54 + 9m = 72 + 15m + -15m Combine like terms: 15m + -15m = 0 54 + 9m = 72 + 0 54 + 9m = 72 Add '-54' to each side of the equation. 54 + -54 + 9m = 72 + -54 Combine like terms: 54 + -54 = 0 0 + 9m = 72 + -54 9m = 72 + -54 Combine like terms: 72 + -54 = 18 9m = 18 Divide each side by '9'. m = 2 Simplifying m = 2
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