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Simplifying n(0.04) + (4000 + -1n)(0.05) = 174 Reorder the terms for easier multiplication: 0.04n + (4000 + -1n)(0.05) = 174 Reorder the terms for easier multiplication: 0.04n + 0.05(4000 + -1n) = 174 0.04n + (4000 * 0.05 + -1n * 0.05) = 174 0.04n + (200 + -0.05n) = 174 Reorder the terms: 200 + 0.04n + -0.05n = 174 Combine like terms: 0.04n + -0.05n = -0.01n 200 + -0.01n = 174 Solving 200 + -0.01n = 174 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -0.01n = 174 + -200 Combine like terms: 200 + -200 = 0 0 + -0.01n = 174 + -200 -0.01n = 174 + -200 Combine like terms: 174 + -200 = -26 -0.01n = -26 Divide each side by '-0.01'. n = 2600 Simplifying n = 2600
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