5n-6=30-n

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Solution for 5n-6=30-n equation:


Simplifying
5n + -6 = 30 + -1n

Reorder the terms:
-6 + 5n = 30 + -1n

Solving
-6 + 5n = 30 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-6 + 5n + n = 30 + -1n + n

Combine like terms: 5n + n = 6n
-6 + 6n = 30 + -1n + n

Combine like terms: -1n + n = 0
-6 + 6n = 30 + 0
-6 + 6n = 30

Add '6' to each side of the equation.
-6 + 6 + 6n = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6n = 30 + 6
6n = 30 + 6

Combine like terms: 30 + 6 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6

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