3(2+v)-v=4+2(4+1)

Solution for 3(2+v)-v=4+2(4+1) equation:

Simplifying
3(2 + v) + -1v = 4 + 2(4 + 1)
(2 * 3 + v * 3) + -1v = 4 + 2(4 + 1)
(6 + 3v) + -1v = 4 + 2(4 + 1)

Combine like terms: 3v + -1v = 2v
6 + 2v = 4 + 2(4 + 1)

Combine like terms: 4 + 1 = 5
6 + 2v = 4 + 2(5)

Multiply 2 * 5
6 + 2v = 4 + 10

Combine like terms: 4 + 10 = 14
6 + 2v = 14

Solving
6 + 2v = 14

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 + 2v = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2v = 14 + -6
2v = 14 + -6

Combine like terms: 14 + -6 = 8
2v = 8

Divide each side by '2'.
v = 4

Simplifying
v = 4