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Simplifying 15m + 3(9 + -3m) = 2(9m + 14) + -1(5) 15m + (9 * 3 + -3m * 3) = 2(9m + 14) + -1(5) 15m + (27 + -9m) = 2(9m + 14) + -1(5) Reorder the terms: 27 + 15m + -9m = 2(9m + 14) + -1(5) Combine like terms: 15m + -9m = 6m 27 + 6m = 2(9m + 14) + -1(5) Reorder the terms: 27 + 6m = 2(14 + 9m) + -1(5) 27 + 6m = (14 * 2 + 9m * 2) + -1(5) 27 + 6m = (28 + 18m) + -1(5) Multiply -1 * 5 27 + 6m = 28 + 18m + -5 Reorder the terms: 27 + 6m = 28 + -5 + 18m Combine like terms: 28 + -5 = 23 27 + 6m = 23 + 18m Solving 27 + 6m = 23 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 27 + 6m + -18m = 23 + 18m + -18m Combine like terms: 6m + -18m = -12m 27 + -12m = 23 + 18m + -18m Combine like terms: 18m + -18m = 0 27 + -12m = 23 + 0 27 + -12m = 23 Add '-27' to each side of the equation. 27 + -27 + -12m = 23 + -27 Combine like terms: 27 + -27 = 0 0 + -12m = 23 + -27 -12m = 23 + -27 Combine like terms: 23 + -27 = -4 -12m = -4 Divide each side by '-12'. m = 0.3333333333 Simplifying m = 0.3333333333
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