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Simplifying 3(1 + -3m) = 2(-4m + 7) (1 * 3 + -3m * 3) = 2(-4m + 7) (3 + -9m) = 2(-4m + 7) Reorder the terms: 3 + -9m = 2(7 + -4m) 3 + -9m = (7 * 2 + -4m * 2) 3 + -9m = (14 + -8m) Solving 3 + -9m = 14 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 3 + -9m + 8m = 14 + -8m + 8m Combine like terms: -9m + 8m = -1m 3 + -1m = 14 + -8m + 8m Combine like terms: -8m + 8m = 0 3 + -1m = 14 + 0 3 + -1m = 14 Add '-3' to each side of the equation. 3 + -3 + -1m = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 14 + -3 -1m = 14 + -3 Combine like terms: 14 + -3 = 11 -1m = 11 Divide each side by '-1'. m = -11 Simplifying m = -11
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