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Simplifying 3(2m + -3) + 12 = 3(3m + 5) + 12 Reorder the terms: 3(-3 + 2m) + 12 = 3(3m + 5) + 12 (-3 * 3 + 2m * 3) + 12 = 3(3m + 5) + 12 (-9 + 6m) + 12 = 3(3m + 5) + 12 Reorder the terms: -9 + 12 + 6m = 3(3m + 5) + 12 Combine like terms: -9 + 12 = 3 3 + 6m = 3(3m + 5) + 12 Reorder the terms: 3 + 6m = 3(5 + 3m) + 12 3 + 6m = (5 * 3 + 3m * 3) + 12 3 + 6m = (15 + 9m) + 12 Reorder the terms: 3 + 6m = 15 + 12 + 9m Combine like terms: 15 + 12 = 27 3 + 6m = 27 + 9m Solving 3 + 6m = 27 + 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. 3 + 6m + -9m = 27 + 9m + -9m Combine like terms: 6m + -9m = -3m 3 + -3m = 27 + 9m + -9m Combine like terms: 9m + -9m = 0 3 + -3m = 27 + 0 3 + -3m = 27 Add '-3' to each side of the equation. 3 + -3 + -3m = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = 27 + -3 -3m = 27 + -3 Combine like terms: 27 + -3 = 24 -3m = 24 Divide each side by '-3'. m = -8 Simplifying m = -8
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