8n-6=6n+42

Solution for 8n-6=6n+42 equation:

Simplifying
8n + -6 = 6n + 42

Reorder the terms:
-6 + 8n = 6n + 42

Reorder the terms:
-6 + 8n = 42 + 6n

Solving
-6 + 8n = 42 + 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.
-6 + 8n + -6n = 42 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-6 + 2n = 42 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + 2n = 42 + 0
-6 + 2n = 42

Add '6' to each side of the equation.
-6 + 6 + 2n = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 42 + 6
2n = 42 + 6

Combine like terms: 42 + 6 = 48
2n = 48

Divide each side by '2'.
n = 24

Simplifying
n = 24