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Simplifying -4(3 + -2m) = -4(m + -6) (3 * -4 + -2m * -4) = -4(m + -6) (-12 + 8m) = -4(m + -6) Reorder the terms: -12 + 8m = -4(-6 + m) -12 + 8m = (-6 * -4 + m * -4) -12 + 8m = (24 + -4m) Solving -12 + 8m = 24 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -12 + 8m + 4m = 24 + -4m + 4m Combine like terms: 8m + 4m = 12m -12 + 12m = 24 + -4m + 4m Combine like terms: -4m + 4m = 0 -12 + 12m = 24 + 0 -12 + 12m = 24 Add '12' to each side of the equation. -12 + 12 + 12m = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12m = 24 + 12 12m = 24 + 12 Combine like terms: 24 + 12 = 36 12m = 36 Divide each side by '12'. m = 3 Simplifying m = 3
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