-2n+7(n+6)=34+4n

Solution for -2n+7(n+6)=34+4n equation:

Simplifying
-2n + 7(n + 6) = 34 + 4n

Reorder the terms:
-2n + 7(6 + n) = 34 + 4n
-2n + (6 * 7 + n * 7) = 34 + 4n
-2n + (42 + 7n) = 34 + 4n

Reorder the terms:
42 + -2n + 7n = 34 + 4n

Combine like terms: -2n + 7n = 5n
42 + 5n = 34 + 4n

Solving
42 + 5n = 34 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
42 + 5n + -4n = 34 + 4n + -4n

Combine like terms: 5n + -4n = 1n
42 + 1n = 34 + 4n + -4n

Combine like terms: 4n + -4n = 0
42 + 1n = 34 + 0
42 + 1n = 34

Add '-42' to each side of the equation.
42 + -42 + 1n = 34 + -42

Combine like terms: 42 + -42 = 0
0 + 1n = 34 + -42
1n = 34 + -42

Combine like terms: 34 + -42 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8