5n-6+n=14-3n

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Solution for 5n-6+n=14-3n equation:


Simplifying
5n + -6 + n = 14 + -3n

Reorder the terms:
-6 + 5n + n = 14 + -3n

Combine like terms: 5n + n = 6n
-6 + 6n = 14 + -3n

Solving
-6 + 6n = 14 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-6 + 6n + 3n = 14 + -3n + 3n

Combine like terms: 6n + 3n = 9n
-6 + 9n = 14 + -3n + 3n

Combine like terms: -3n + 3n = 0
-6 + 9n = 14 + 0
-6 + 9n = 14

Add '6' to each side of the equation.
-6 + 6 + 9n = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = 14 + 6
9n = 14 + 6

Combine like terms: 14 + 6 = 20
9n = 20

Divide each side by '9'.
n = 2.222222222

Simplifying
n = 2.222222222

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