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Simplifying 2(6m + -3) = 3(3m + -6) Reorder the terms: 2(-3 + 6m) = 3(3m + -6) (-3 * 2 + 6m * 2) = 3(3m + -6) (-6 + 12m) = 3(3m + -6) Reorder the terms: -6 + 12m = 3(-6 + 3m) -6 + 12m = (-6 * 3 + 3m * 3) -6 + 12m = (-18 + 9m) Solving -6 + 12m = -18 + 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 = -18 + 9m + -9m Combine like terms: 12m + -9m = 3m -6 + 3m = -18 + 9m + -9m Combine like terms: 9m + -9m = 0 -6 + 3m = -18 + 0 -6 + 3m = -18 Add '6' to each side of the equation. -6 + 6 + 3m = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = -18 + 6 3m = -18 + 6 Combine like terms: -18 + 6 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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