0.14n+.07(2450-n)=.09(2450)

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Solution for 0.14n+.07(2450-n)=.09(2450) equation:


Simplifying
0.14n + 0.07(2450 + -1n) = 0.09(2450)
0.14n + (2450 * 0.07 + -1n * 0.07) = 0.09(2450)
0.14n + (171.5 + -0.07n) = 0.09(2450)

Reorder the terms:
171.5 + 0.14n + -0.07n = 0.09(2450)

Combine like terms: 0.14n + -0.07n = 0.07n
171.5 + 0.07n = 0.09(2450)

Multiply 0.09 * 2450
171.5 + 0.07n = 220.5

Solving
171.5 + 0.07n = 220.5

Solving for variable 'n'.

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

Add '-171.5' to each side of the equation.
171.5 + -171.5 + 0.07n = 220.5 + -171.5

Combine like terms: 171.5 + -171.5 = 0.0
0.0 + 0.07n = 220.5 + -171.5
0.07n = 220.5 + -171.5

Combine like terms: 220.5 + -171.5 = 49
0.07n = 49

Divide each side by '0.07'.
n = 700

Simplifying
n = 700

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