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Simplifying 6(2m + -3) + 12 = 3(3m + 5) + 12 Reorder the terms: 6(-3 + 2m) + 12 = 3(3m + 5) + 12 (-3 * 6 + 2m * 6) + 12 = 3(3m + 5) + 12 (-18 + 12m) + 12 = 3(3m + 5) + 12 Reorder the terms: -18 + 12 + 12m = 3(3m + 5) + 12 Combine like terms: -18 + 12 = -6 -6 + 12m = 3(3m + 5) + 12 Reorder the terms: -6 + 12m = 3(5 + 3m) + 12 -6 + 12m = (5 * 3 + 3m * 3) + 12 -6 + 12m = (15 + 9m) + 12 Reorder the terms: -6 + 12m = 15 + 12 + 9m Combine like terms: 15 + 12 = 27 -6 + 12m = 27 + 9m Solving -6 + 12m = 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. -6 + 12m + -9m = 27 + 9m + -9m Combine like terms: 12m + -9m = 3m -6 + 3m = 27 + 9m + -9m Combine like terms: 9m + -9m = 0 -6 + 3m = 27 + 0 -6 + 3m = 27 Add '6' to each side of the equation. -6 + 6 + 3m = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = 27 + 6 3m = 27 + 6 Combine like terms: 27 + 6 = 33 3m = 33 Divide each side by '3'. m = 11 Simplifying m = 11
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