5(n+6)=8+6n

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Solution for 5(n+6)=8+6n equation:


Simplifying
5(n + 6) = 8 + 6n

Reorder the terms:
5(6 + n) = 8 + 6n
(6 * 5 + n * 5) = 8 + 6n
(30 + 5n) = 8 + 6n

Solving
30 + 5n = 8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
30 + 5n + -6n = 8 + 6n + -6n

Combine like terms: 5n + -6n = -1n
30 + -1n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
30 + -1n = 8 + 0
30 + -1n = 8

Add '-30' to each side of the equation.
30 + -30 + -1n = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = 8 + -30
-1n = 8 + -30

Combine like terms: 8 + -30 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22

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