4n+6=11n+34

Solution for 4n+6=11n+34 equation:

Simplifying
4n + 6 = 11n + 34

Reorder the terms:
6 + 4n = 11n + 34

Reorder the terms:
6 + 4n = 34 + 11n

Solving
6 + 4n = 34 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
6 + 4n + -11n = 34 + 11n + -11n

Combine like terms: 4n + -11n = -7n
6 + -7n = 34 + 11n + -11n

Combine like terms: 11n + -11n = 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