4.6n-15.8=13.9-6.4n

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Solution for 4.6n-15.8=13.9-6.4n equation: 


Simplifying
4.6n + -15.8 = 13.9 + -6.4n

Reorder the terms:
-15.8 + 4.6n = 13.9 + -6.4n

Solving
-15.8 + 4.6n = 13.9 + -6.4n

Solving for variable 'n'.

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

Add '6.4n' to each side of the equation.
-15.8 + 4.6n + 6.4n = 13.9 + -6.4n + 6.4n

Combine like terms: 4.6n + 6.4n = 11n
-15.8 + 11n = 13.9 + -6.4n + 6.4n

Combine like terms: -6.4n + 6.4n = 0.0
-15.8 + 11n = 13.9 + 0.0
-15.8 + 11n = 13.9

Add '15.8' to each side of the equation.
-15.8 + 15.8 + 11n = 13.9 + 15.8

Combine like terms: -15.8 + 15.8 = 0.0
0.0 + 11n = 13.9 + 15.8
11n = 13.9 + 15.8

Combine like terms: 13.9 + 15.8 = 29.7
11n = 29.7

Divide each side by '11'.
n = 2.7

Simplifying
n = 2.7

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