3(v+2)-7v=-34

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

Simplifying
3(v + 2) + -7v = -34

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

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

Solving
6 + -4v = -34

Solving for variable 'v'.

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

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

Combine like terms: 6 + -6 = 0
0 + -4v = -34 + -6
-4v = -34 + -6

Combine like terms: -34 + -6 = -40
-4v = -40

Divide each side by '-4'.
v = 10

Simplifying
v = 10