8+13n-2=8n+72-6n

Solution for 8+13n-2=8n+72-6n equation:

Simplifying
8 + 13n + -2 = 8n + 72 + -6n

Reorder the terms:
8 + -2 + 13n = 8n + 72 + -6n

Combine like terms: 8 + -2 = 6
6 + 13n = 8n + 72 + -6n

Reorder the terms:
6 + 13n = 72 + 8n + -6n

Combine like terms: 8n + -6n = 2n
6 + 13n = 72 + 2n

Solving
6 + 13n = 72 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 13n + -2n = 72 + 2n + -2n

Combine like terms: 13n + -2n = 11n
6 + 11n = 72 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 11n = 72 + 0
6 + 11n = 72

Add '-6' to each side of the equation.
6 + -6 + 11n = 72 + -6

Combine like terms: 6 + -6 = 0
0 + 11n = 72 + -6
11n = 72 + -6

Combine like terms: 72 + -6 = 66
11n = 66

Divide each side by '11'.
n = 6

Simplifying
n = 6