2(v+3)=9v+34

Solution for 2(v+3)=9v+34 equation:

Simplifying
2(v + 3) = 9v + 34

Reorder the terms:
2(3 + v) = 9v + 34
(3 * 2 + v * 2) = 9v + 34
(6 + 2v) = 9v + 34

Reorder the terms:
6 + 2v = 34 + 9v

Solving
6 + 2v = 34 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
6 + 2v + -9v = 34 + 9v + -9v

Combine like terms: 2v + -9v = -7v
6 + -7v = 34 + 9v + -9v

Combine like terms: 9v + -9v = 0
6 + -7v = 34 + 0
6 + -7v = 34

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

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

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

Divide each side by '-7'.
v = -4

Simplifying
v = -4