.12n+.07(4000-n)=.08(4000)

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Solution for .12n+.07(4000-n)=.08(4000) equation:


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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