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Simplifying 6(5m + 3) = 3(3m + 5) Reorder the terms: 6(3 + 5m) = 3(3m + 5) (3 * 6 + 5m * 6) = 3(3m + 5) (18 + 30m) = 3(3m + 5) Reorder the terms: 18 + 30m = 3(5 + 3m) 18 + 30m = (5 * 3 + 3m * 3) 18 + 30m = (15 + 9m) Solving 18 + 30m = 15 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 18 + 30m + -9m = 15 + 9m + -9m Combine like terms: 30m + -9m = 21m 18 + 21m = 15 + 9m + -9m Combine like terms: 9m + -9m = 0 18 + 21m = 15 + 0 18 + 21m = 15 Add '-18' to each side of the equation. 18 + -18 + 21m = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 21m = 15 + -18 21m = 15 + -18 Combine like terms: 15 + -18 = -3 21m = -3 Divide each side by '21'. m = -0.1428571429 Simplifying m = -0.1428571429
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