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Simplifying 3(3m + -2) = 2(3m + 4) Reorder the terms: 3(-2 + 3m) = 2(3m + 4) (-2 * 3 + 3m * 3) = 2(3m + 4) (-6 + 9m) = 2(3m + 4) Reorder the terms: -6 + 9m = 2(4 + 3m) -6 + 9m = (4 * 2 + 3m * 2) -6 + 9m = (8 + 6m) Solving -6 + 9m = 8 + 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. -6 + 9m + -6m = 8 + 6m + -6m Combine like terms: 9m + -6m = 3m -6 + 3m = 8 + 6m + -6m Combine like terms: 6m + -6m = 0 -6 + 3m = 8 + 0 -6 + 3m = 8 Add '6' to each side of the equation. -6 + 6 + 3m = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = 8 + 6 3m = 8 + 6 Combine like terms: 8 + 6 = 14 3m = 14 Divide each side by '3'. m = 4.666666667 Simplifying m = 4.666666667
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