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Simplifying 0.6(10n + 25) = (10 + 5n) Reorder the terms: 0.6(25 + 10n) = (10 + 5n) (25 * 0.6 + 10n * 0.6) = (10 + 5n) (15 + 6n) = (10 + 5n) Remove parenthesis around (10 + 5n) 15 + 6n = 10 + 5n Solving 15 + 6n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 15 + 6n + -5n = 10 + 5n + -5n Combine like terms: 6n + -5n = 1n 15 + 1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + 1n = 10 + 0 15 + 1n = 10 Add '-15' to each side of the equation. 15 + -15 + 1n = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 10 + -15 1n = 10 + -15 Combine like terms: 10 + -15 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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