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Simplifying -3(4m + 6) = 3(4 + -1m) Reorder the terms: -3(6 + 4m) = 3(4 + -1m) (6 * -3 + 4m * -3) = 3(4 + -1m) (-18 + -12m) = 3(4 + -1m) -18 + -12m = (4 * 3 + -1m * 3) -18 + -12m = (12 + -3m) Solving -18 + -12m = 12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -18 + -12m + 3m = 12 + -3m + 3m Combine like terms: -12m + 3m = -9m -18 + -9m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 -18 + -9m = 12 + 0 -18 + -9m = 12 Add '18' to each side of the equation. -18 + 18 + -9m = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -9m = 12 + 18 -9m = 12 + 18 Combine like terms: 12 + 18 = 30 -9m = 30 Divide each side by '-9'. m = -3.333333333 Simplifying m = -3.333333333
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