.2n+14=1.3n-14.5

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Solution for .2n+14=1.3n-14.5 equation: 


Simplifying
0.2n + 14 = 1.3n + -14.5

Reorder the terms:
14 + 0.2n = 1.3n + -14.5

Reorder the terms:
14 + 0.2n = -14.5 + 1.3n

Solving
14 + 0.2n = -14.5 + 1.3n

Solving for variable 'n'.

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

Add '-1.3n' to each side of the equation.
14 + 0.2n + -1.3n = -14.5 + 1.3n + -1.3n

Combine like terms: 0.2n + -1.3n = -1.1n
14 + -1.1n = -14.5 + 1.3n + -1.3n

Combine like terms: 1.3n + -1.3n = 0.0
14 + -1.1n = -14.5 + 0.0
14 + -1.1n = -14.5

Add '-14' to each side of the equation.
14 + -14 + -1.1n = -14.5 + -14

Combine like terms: 14 + -14 = 0
0 + -1.1n = -14.5 + -14
-1.1n = -14.5 + -14

Combine like terms: -14.5 + -14 = -28.5
-1.1n = -28.5

Divide each side by '-1.1'.
n = 25.90909091

Simplifying
n = 25.90909091

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