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Simplifying 0.08n + 0.12(n + 500) = 180 Reorder the terms: 0.08n + 0.12(500 + n) = 180 0.08n + (500 * 0.12 + n * 0.12) = 180 0.08n + (60 + 0.12n) = 180 Reorder the terms: 60 + 0.08n + 0.12n = 180 Combine like terms: 0.08n + 0.12n = 0.2n 60 + 0.2n = 180 Solving 60 + 0.2n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.2n = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 0.2n = 180 + -60 0.2n = 180 + -60 Combine like terms: 180 + -60 = 120 0.2n = 120 Divide each side by '0.2'. n = 600 Simplifying n = 600
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