7n+42=(n+6)

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

Simplifying
7n + 42 = (n + 6)

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

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

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

Solving
42 + 7n = 6 + 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.
42 + 7n + -1n = 6 + n + -1n

Combine like terms: 7n + -1n = 6n
42 + 6n = 6 + n + -1n

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

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

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

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

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

Simplifying
n = -6