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Simplifying 3(1 + -3m) = -3(3 + 2m) (1 * 3 + -3m * 3) = -3(3 + 2m) (3 + -9m) = -3(3 + 2m) 3 + -9m = (3 * -3 + 2m * -3) 3 + -9m = (-9 + -6m) Solving 3 + -9m = -9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 3 + -9m + 6m = -9 + -6m + 6m Combine like terms: -9m + 6m = -3m 3 + -3m = -9 + -6m + 6m Combine like terms: -6m + 6m = 0 3 + -3m = -9 + 0 3 + -3m = -9 Add '-3' to each side of the equation. 3 + -3 + -3m = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = -9 + -3 -3m = -9 + -3 Combine like terms: -9 + -3 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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