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Simplifying 0.12n + 0.07(4000 + -1n) = 0.08(4000) 0.12n + (4000 * 0.07 + -1n * 0.07) = 0.08(4000) 0.12n + (280 + -0.07n) = 0.08(4000) Reorder the terms: 280 + 0.12n + -0.07n = 0.08(4000) Combine like terms: 0.12n + -0.07n = 0.05n 280 + 0.05n = 0.08(4000) Multiply 0.08 * 4000 280 + 0.05n = 320 Solving 280 + 0.05n = 320 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 0.05n = 320 + -280 Combine like terms: 280 + -280 = 0 0 + 0.05n = 320 + -280 0.05n = 320 + -280 Combine like terms: 320 + -280 = 40 0.05n = 40 Divide each side by '0.05'. n = 800 Simplifying n = 800
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