0.12n+0.05(2450-n)=0.07(2450)

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Solution for 0.12n+0.05(2450-n)=0.07(2450) equation:


Simplifying
0.12n + 0.05(2450 + -1n) = 0.07(2450)
0.12n + (2450 * 0.05 + -1n * 0.05) = 0.07(2450)
0.12n + (122.5 + -0.05n) = 0.07(2450)

Reorder the terms:
122.5 + 0.12n + -0.05n = 0.07(2450)

Combine like terms: 0.12n + -0.05n = 0.07n
122.5 + 0.07n = 0.07(2450)

Multiply 0.07 * 2450
122.5 + 0.07n = 171.5

Solving
122.5 + 0.07n = 171.5

Solving for variable 'n'.

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

Add '-122.5' to each side of the equation.
122.5 + -122.5 + 0.07n = 171.5 + -122.5

Combine like terms: 122.5 + -122.5 = 0.0
0.0 + 0.07n = 171.5 + -122.5
0.07n = 171.5 + -122.5

Combine like terms: 171.5 + -122.5 = 49
0.07n = 49

Divide each side by '0.07'.
n = 700

Simplifying
n = 700

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