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Simplifying 12 + 4(5m + 8) = 5(3 + -1m) Reorder the terms: 12 + 4(8 + 5m) = 5(3 + -1m) 12 + (8 * 4 + 5m * 4) = 5(3 + -1m) 12 + (32 + 20m) = 5(3 + -1m) Combine like terms: 12 + 32 = 44 44 + 20m = 5(3 + -1m) 44 + 20m = (3 * 5 + -1m * 5) 44 + 20m = (15 + -5m) Solving 44 + 20m = 15 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 44 + 20m + 5m = 15 + -5m + 5m Combine like terms: 20m + 5m = 25m 44 + 25m = 15 + -5m + 5m Combine like terms: -5m + 5m = 0 44 + 25m = 15 + 0 44 + 25m = 15 Add '-44' to each side of the equation. 44 + -44 + 25m = 15 + -44 Combine like terms: 44 + -44 = 0 0 + 25m = 15 + -44 25m = 15 + -44 Combine like terms: 15 + -44 = -29 25m = -29 Divide each side by '25'. m = -1.16 Simplifying m = -1.16
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