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Simplifying 3(2m + -3) + -3(4m + -2) = 0 Reorder the terms: 3(-3 + 2m) + -3(4m + -2) = 0 (-3 * 3 + 2m * 3) + -3(4m + -2) = 0 (-9 + 6m) + -3(4m + -2) = 0 Reorder the terms: -9 + 6m + -3(-2 + 4m) = 0 -9 + 6m + (-2 * -3 + 4m * -3) = 0 -9 + 6m + (6 + -12m) = 0 Reorder the terms: -9 + 6 + 6m + -12m = 0 Combine like terms: -9 + 6 = -3 -3 + 6m + -12m = 0 Combine like terms: 6m + -12m = -6m -3 + -6m = 0 Solving -3 + -6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6m = 0 + 3 -6m = 0 + 3 Combine like terms: 0 + 3 = 3 -6m = 3 Divide each side by '-6'. m = -0.5 Simplifying m = -0.5
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