.13n+.04(1350-n)=.09(1350)

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Solution for .13n+.04(1350-n)=.09(1350) equation:


Simplifying
0.13n + 0.04(1350 + -1n) = 0.09(1350)
0.13n + (1350 * 0.04 + -1n * 0.04) = 0.09(1350)
0.13n + (54 + -0.04n) = 0.09(1350)

Reorder the terms:
54 + 0.13n + -0.04n = 0.09(1350)

Combine like terms: 0.13n + -0.04n = 0.09n
54 + 0.09n = 0.09(1350)

Multiply 0.09 * 1350
54 + 0.09n = 121.5

Solving
54 + 0.09n = 121.5

Solving for variable 'n'.

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

Add '-54' to each side of the equation.
54 + -54 + 0.09n = 121.5 + -54

Combine like terms: 54 + -54 = 0
0 + 0.09n = 121.5 + -54
0.09n = 121.5 + -54

Combine like terms: 121.5 + -54 = 67.5
0.09n = 67.5

Divide each side by '0.09'.
n = 750

Simplifying
n = 750

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