8.9(-14n+37)=8.9(4n-25)

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Solution for 8.9(-14n+37)=8.9(4n-25) equation: 


Simplifying
8.9(-14n + 37) = 8.9(4n + -25)

Reorder the terms:
8.9(37 + -14n) = 8.9(4n + -25)
(37 * 8.9 + -14n * 8.9) = 8.9(4n + -25)
(329.3 + -124.6n) = 8.9(4n + -25)

Reorder the terms:
329.3 + -124.6n = 8.9(-25 + 4n)
329.3 + -124.6n = (-25 * 8.9 + 4n * 8.9)
329.3 + -124.6n = (-222.5 + 35.6n)

Solving
329.3 + -124.6n = -222.5 + 35.6n

Solving for variable 'n'.

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

Add '-35.6n' to each side of the equation.
329.3 + -124.6n + -35.6n = -222.5 + 35.6n + -35.6n

Combine like terms: -124.6n + -35.6n = -160.2n
329.3 + -160.2n = -222.5 + 35.6n + -35.6n

Combine like terms: 35.6n + -35.6n = 0.0
329.3 + -160.2n = -222.5 + 0.0
329.3 + -160.2n = -222.5

Add '-329.3' to each side of the equation.
329.3 + -329.3 + -160.2n = -222.5 + -329.3

Combine like terms: 329.3 + -329.3 = 0.0
0.0 + -160.2n = -222.5 + -329.3
-160.2n = -222.5 + -329.3

Combine like terms: -222.5 + -329.3 = -551.8
-160.2n = -551.8

Divide each side by '-160.2'.
n = 3.444444444

Simplifying
n = 3.444444444

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