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Simplifying 0.5(48n + 12) = 0.20(30 + 30n) Reorder the terms: 0.5(12 + 48n) = 0.20(30 + 30n) (12 * 0.5 + 48n * 0.5) = 0.20(30 + 30n) (6 + 24n) = 0.20(30 + 30n) 6 + 24n = (30 * 0.20 + 30n * 0.20) 6 + 24n = (6 + 6n) Add '-6' to each side of the equation. 6 + -6 + 24n = 6 + -6 + 6n Combine like terms: 6 + -6 = 0 0 + 24n = 6 + -6 + 6n 24n = 6 + -6 + 6n Combine like terms: 6 + -6 = 0 24n = 0 + 6n 24n = 6n Solving 24n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 24n + -6n = 6n + -6n Combine like terms: 24n + -6n = 18n 18n = 6n + -6n Combine like terms: 6n + -6n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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