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Simplifying 6(4 + 3m) = -4(3m + 5) + -4 (4 * 6 + 3m * 6) = -4(3m + 5) + -4 (24 + 18m) = -4(3m + 5) + -4 Reorder the terms: 24 + 18m = -4(5 + 3m) + -4 24 + 18m = (5 * -4 + 3m * -4) + -4 24 + 18m = (-20 + -12m) + -4 Reorder the terms: 24 + 18m = -20 + -4 + -12m Combine like terms: -20 + -4 = -24 24 + 18m = -24 + -12m Solving 24 + 18m = -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. 24 + 18m + 12m = -24 + -12m + 12m Combine like terms: 18m + 12m = 30m 24 + 30m = -24 + -12m + 12m Combine like terms: -12m + 12m = 0 24 + 30m = -24 + 0 24 + 30m = -24 Add '-24' to each side of the equation. 24 + -24 + 30m = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 30m = -24 + -24 30m = -24 + -24 Combine like terms: -24 + -24 = -48 30m = -48 Divide each side by '30'. m = -1.6 Simplifying m = -1.6
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