9n-6=42+n

Solution for 9n-6=42+n equation:

Simplifying
9n + -6 = 42 + n

Reorder the terms:
-6 + 9n = 42 + n

Solving
-6 + 9n = 42 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-6 + 9n + -1n = 42 + n + -1n

Combine like terms: 9n + -1n = 8n
-6 + 8n = 42 + n + -1n

Combine like terms: n + -1n = 0
-6 + 8n = 42 + 0
-6 + 8n = 42

Add '6' to each side of the equation.
-6 + 6 + 8n = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8n = 42 + 6
8n = 42 + 6

Combine like terms: 42 + 6 = 48
8n = 48

Divide each side by '8'.
n = 6

Simplifying
n = 6