(n+6)=8n+48

Solution for (n+6)=8n+48 equation:

Simplifying
(n + 6) = 8n + 48

Reorder the terms:
(6 + n) = 8n + 48

Remove parenthesis around (6 + n)
6 + n = 8n + 48

Reorder the terms:
6 + n = 48 + 8n

Solving
6 + n = 48 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + n + -8n = 48 + 8n + -8n

Combine like terms: n + -8n = -7n
6 + -7n = 48 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -7n = 48 + 0
6 + -7n = 48

Add '-6' to each side of the equation.
6 + -6 + -7n = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -7n = 48 + -6
-7n = 48 + -6

Combine like terms: 48 + -6 = 42
-7n = 42

Divide each side by '-7'.
n = -6

Simplifying
n = -6