2(6n-3)=34+7n

Solution for 2(6n-3)=34+7n equation:

Simplifying
2(6n + -3) = 34 + 7n

Reorder the terms:
2(-3 + 6n) = 34 + 7n
(-3 * 2 + 6n * 2) = 34 + 7n
(-6 + 12n) = 34 + 7n

Solving
-6 + 12n = 34 + 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 + 12n + -7n = 34 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-6 + 5n = 34 + 7n + -7n

Combine like terms: 7n + -7n = 0
-6 + 5n = 34 + 0
-6 + 5n = 34

Add '6' to each side of the equation.
-6 + 6 + 5n = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = 34 + 6
5n = 34 + 6

Combine like terms: 34 + 6 = 40
5n = 40

Divide each side by '5'.
n = 8

Simplifying
n = 8