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Simplifying 8 + 5m(m + -3) = 12 + -1m(3 + -5m) Reorder the terms: 8 + 5m(-3 + m) = 12 + -1m(3 + -5m) 8 + (-3 * 5m + m * 5m) = 12 + -1m(3 + -5m) 8 + (-15m + 5m2) = 12 + -1m(3 + -5m) 8 + -15m + 5m2 = 12 + (3 * -1m + -5m * -1m) 8 + -15m + 5m2 = 12 + (-3m + 5m2) Add '-5m2' to each side of the equation. 8 + -15m + 5m2 + -5m2 = 12 + -3m + 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 8 + -15m + 0 = 12 + -3m + 5m2 + -5m2 8 + -15m = 12 + -3m + 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 8 + -15m = 12 + -3m + 0 8 + -15m = 12 + -3m Solving 8 + -15m = 12 + -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. 8 + -15m + 3m = 12 + -3m + 3m Combine like terms: -15m + 3m = -12m 8 + -12m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 8 + -12m = 12 + 0 8 + -12m = 12 Add '-8' to each side of the equation. 8 + -8 + -12m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -12m = 12 + -8 -12m = 12 + -8 Combine like terms: 12 + -8 = 4 -12m = 4 Divide each side by '-12'. m = -0.3333333333 Simplifying m = -0.3333333333
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