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Simplifying 0.14n + 0.06(2000 + -1n) = 0.09(2000) 0.14n + (2000 * 0.06 + -1n * 0.06) = 0.09(2000) 0.14n + (120 + -0.06n) = 0.09(2000) Reorder the terms: 120 + 0.14n + -0.06n = 0.09(2000) Combine like terms: 0.14n + -0.06n = 0.08n 120 + 0.08n = 0.09(2000) Multiply 0.09 * 2000 120 + 0.08n = 180 Solving 120 + 0.08n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 0.08n = 180 + -120 Combine like terms: 120 + -120 = 0 0 + 0.08n = 180 + -120 0.08n = 180 + -120 Combine like terms: 180 + -120 = 60 0.08n = 60 Divide each side by '0.08'. n = 750 Simplifying n = 750
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