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Simplifying 3(m + 8) = -3(8 + -5m) Reorder the terms: 3(8 + m) = -3(8 + -5m) (8 * 3 + m * 3) = -3(8 + -5m) (24 + 3m) = -3(8 + -5m) 24 + 3m = (8 * -3 + -5m * -3) 24 + 3m = (-24 + 15m) Solving 24 + 3m = -24 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 24 + 3m + -15m = -24 + 15m + -15m Combine like terms: 3m + -15m = -12m 24 + -12m = -24 + 15m + -15m Combine like terms: 15m + -15m = 0 24 + -12m = -24 + 0 24 + -12m = -24 Add '-24' to each side of the equation. 24 + -24 + -12m = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12m = -24 + -24 -12m = -24 + -24 Combine like terms: -24 + -24 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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