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Simplifying -3(4 + 2m) = -4(3m + -6) (4 * -3 + 2m * -3) = -4(3m + -6) (-12 + -6m) = -4(3m + -6) Reorder the terms: -12 + -6m = -4(-6 + 3m) -12 + -6m = (-6 * -4 + 3m * -4) -12 + -6m = (24 + -12m) Solving -12 + -6m = 24 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -12 + -6m + 12m = 24 + -12m + 12m Combine like terms: -6m + 12m = 6m -12 + 6m = 24 + -12m + 12m Combine like terms: -12m + 12m = 0 -12 + 6m = 24 + 0 -12 + 6m = 24 Add '12' to each side of the equation. -12 + 12 + 6m = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = 24 + 12 6m = 24 + 12 Combine like terms: 24 + 12 = 36 6m = 36 Divide each side by '6'. m = 6 Simplifying m = 6
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