(n+6)=7n+42

Solution for (n+6)=7n+42 equation:

Simplifying
(n + 6) = 7n + 42

Reorder the terms:
(6 + n) = 7n + 42

Remove parenthesis around (6 + n)
6 + n = 7n + 42

Reorder the terms:
6 + n = 42 + 7n

Solving
6 + n = 42 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + n + -7n = 42 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
6 + -6n = 42 + 0
6 + -6n = 42

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

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

Combine like terms: 42 + -6 = 36
-6n = 36

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

Simplifying
n = -6