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Simplifying 0.13n + 0.05(2400 + -1n) = 0.07(2400) 0.13n + (2400 * 0.05 + -1n * 0.05) = 0.07(2400) 0.13n + (120 + -0.05n) = 0.07(2400) Reorder the terms: 120 + 0.13n + -0.05n = 0.07(2400) Combine like terms: 0.13n + -0.05n = 0.08n 120 + 0.08n = 0.07(2400) Multiply 0.07 * 2400 120 + 0.08n = 168 Solving 120 + 0.08n = 168 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 = 168 + -120 Combine like terms: 120 + -120 = 0 0 + 0.08n = 168 + -120 0.08n = 168 + -120 Combine like terms: 168 + -120 = 48 0.08n = 48 Divide each side by '0.08'. n = 600 Simplifying n = 600
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