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