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Simplifying -5m + 6 = -8m + 3(-8 + -4m) Reorder the terms: 6 + -5m = -8m + 3(-8 + -4m) 6 + -5m = -8m + (-8 * 3 + -4m * 3) 6 + -5m = -8m + (-24 + -12m) Reorder the terms: 6 + -5m = -24 + -8m + -12m Combine like terms: -8m + -12m = -20m 6 + -5m = -24 + -20m Solving 6 + -5m = -24 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 6 + -5m + 20m = -24 + -20m + 20m Combine like terms: -5m + 20m = 15m 6 + 15m = -24 + -20m + 20m Combine like terms: -20m + 20m = 0 6 + 15m = -24 + 0 6 + 15m = -24 Add '-6' to each side of the equation. 6 + -6 + 15m = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 15m = -24 + -6 15m = -24 + -6 Combine like terms: -24 + -6 = -30 15m = -30 Divide each side by '15'. m = -2 Simplifying m = -2
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