n(.04)+(4000-n)(.05)=174

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Solution for n(.04)+(4000-n)(.05)=174 equation:


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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