0.12n+0.08(3600-n)=0.09(3600)

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Solution for 0.12n+0.08(3600-n)=0.09(3600) equation:


Simplifying
0.12n + 0.08(3600 + -1n) = 0.09(3600)
0.12n + (3600 * 0.08 + -1n * 0.08) = 0.09(3600)
0.12n + (288 + -0.08n) = 0.09(3600)

Reorder the terms:
288 + 0.12n + -0.08n = 0.09(3600)

Combine like terms: 0.12n + -0.08n = 0.04n
288 + 0.04n = 0.09(3600)

Multiply 0.09 * 3600
288 + 0.04n = 324

Solving
288 + 0.04n = 324

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-288' to each side of the equation.
288 + -288 + 0.04n = 324 + -288

Combine like terms: 288 + -288 = 0
0 + 0.04n = 324 + -288
0.04n = 324 + -288

Combine like terms: 324 + -288 = 36
0.04n = 36

Divide each side by '0.04'.
n = 900

Simplifying
n = 900

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