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Simplifying 5(1 + 4m) = 15m + 10 (1 * 5 + 4m * 5) = 15m + 10 (5 + 20m) = 15m + 10 Reorder the terms: 5 + 20m = 10 + 15m Solving 5 + 20m = 10 + 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. 5 + 20m + -15m = 10 + 15m + -15m Combine like terms: 20m + -15m = 5m 5 + 5m = 10 + 15m + -15m Combine like terms: 15m + -15m = 0 5 + 5m = 10 + 0 5 + 5m = 10 Add '-5' to each side of the equation. 5 + -5 + 5m = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = 10 + -5 5m = 10 + -5 Combine like terms: 10 + -5 = 5 5m = 5 Divide each side by '5'. m = 1 Simplifying m = 1
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