3n+6=34-4n

Solution for 3n+6=34-4n equation:

Simplifying
3n + 6 = 34 + -4n

Reorder the terms:
6 + 3n = 34 + -4n

Solving
6 + 3n = 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.
6 + 3n + 4n = 34 + -4n + 4n

Combine like terms: 3n + 4n = 7n
6 + 7n = 34 + -4n + 4n

Combine like terms: -4n + 4n = 0
6 + 7n = 34 + 0
6 + 7n = 34

Add '-6' to each side of the equation.
6 + -6 + 7n = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 34 + -6
7n = 34 + -6

Combine like terms: 34 + -6 = 28
7n = 28

Divide each side by '7'.
n = 4

Simplifying
n = 4