2v+3(3v+2)=50

Solution for 2v+3(3v+2)=50 equation:

Simplifying
2v + 3(3v + 2) = 50

Reorder the terms:
2v + 3(2 + 3v) = 50
2v + (2 * 3 + 3v * 3) = 50
2v + (6 + 9v) = 50

Reorder the terms:
6 + 2v + 9v = 50

Combine like terms: 2v + 9v = 11v
6 + 11v = 50

Solving
6 + 11v = 50

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 + 11v = 50 + -6

Combine like terms: 6 + -6 = 0
0 + 11v = 50 + -6
11v = 50 + -6

Combine like terms: 50 + -6 = 44
11v = 44

Divide each side by '11'.
v = 4

Simplifying
v = 4