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Simplifying 0.14n + 0.06(6000 + -1n) = 0.07(6000) 0.14n + (6000 * 0.06 + -1n * 0.06) = 0.07(6000) 0.14n + (360 + -0.06n) = 0.07(6000) Reorder the terms: 360 + 0.14n + -0.06n = 0.07(6000) Combine like terms: 0.14n + -0.06n = 0.08n 360 + 0.08n = 0.07(6000) Multiply 0.07 * 6000 360 + 0.08n = 420 Solving 360 + 0.08n = 420 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-360' to each side of the equation. 360 + -360 + 0.08n = 420 + -360 Combine like terms: 360 + -360 = 0 0 + 0.08n = 420 + -360 0.08n = 420 + -360 Combine like terms: 420 + -360 = 60 0.08n = 60 Divide each side by '0.08'. n = 750 Simplifying n = 750
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