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Simplifying -4(3m + -6) = 72 + -3(m + -8) Reorder the terms: -4(-6 + 3m) = 72 + -3(m + -8) (-6 * -4 + 3m * -4) = 72 + -3(m + -8) (24 + -12m) = 72 + -3(m + -8) Reorder the terms: 24 + -12m = 72 + -3(-8 + m) 24 + -12m = 72 + (-8 * -3 + m * -3) 24 + -12m = 72 + (24 + -3m) Combine like terms: 72 + 24 = 96 24 + -12m = 96 + -3m Solving 24 + -12m = 96 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 24 + -12m + 3m = 96 + -3m + 3m Combine like terms: -12m + 3m = -9m 24 + -9m = 96 + -3m + 3m Combine like terms: -3m + 3m = 0 24 + -9m = 96 + 0 24 + -9m = 96 Add '-24' to each side of the equation. 24 + -24 + -9m = 96 + -24 Combine like terms: 24 + -24 = 0 0 + -9m = 96 + -24 -9m = 96 + -24 Combine like terms: 96 + -24 = 72 -9m = 72 Divide each side by '-9'. m = -8 Simplifying m = -8
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