3(2n-5)+1=34

Solution for 3(2n-5)+1=34 equation:

Simplifying
3(2n + -5) + 1 = 34

Reorder the terms:
3(-5 + 2n) + 1 = 34
(-5 * 3 + 2n * 3) + 1 = 34
(-15 + 6n) + 1 = 34

Reorder the terms:
-15 + 1 + 6n = 34

Combine like terms: -15 + 1 = -14
-14 + 6n = 34

Solving
-14 + 6n = 34

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 14 + 6n = 34 + 14

Combine like terms: -14 + 14 = 0
0 + 6n = 34 + 14
6n = 34 + 14

Combine like terms: 34 + 14 = 48
6n = 48

Divide each side by '6'.
n = 8

Simplifying
n = 8