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Simplifying 10(2 + -1m) + -5(1 + -3m) = 30 (2 * 10 + -1m * 10) + -5(1 + -3m) = 30 (20 + -10m) + -5(1 + -3m) = 30 20 + -10m + (1 * -5 + -3m * -5) = 30 20 + -10m + (-5 + 15m) = 30 Reorder the terms: 20 + -5 + -10m + 15m = 30 Combine like terms: 20 + -5 = 15 15 + -10m + 15m = 30 Combine like terms: -10m + 15m = 5m 15 + 5m = 30 Solving 15 + 5m = 30 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5m = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 5m = 30 + -15 5m = 30 + -15 Combine like terms: 30 + -15 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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