4(3+v)-v=6+3(9v+2)

Solution for 4(3+v)-v=6+3(9v+2) equation:

Simplifying
4(3 + v) + -1v = 6 + 3(9v + 2)
(3 * 4 + v * 4) + -1v = 6 + 3(9v + 2)
(12 + 4v) + -1v = 6 + 3(9v + 2)

Combine like terms: 4v + -1v = 3v
12 + 3v = 6 + 3(9v + 2)

Reorder the terms:
12 + 3v = 6 + 3(2 + 9v)
12 + 3v = 6 + (2 * 3 + 9v * 3)
12 + 3v = 6 + (6 + 27v)

Combine like terms: 6 + 6 = 12
12 + 3v = 12 + 27v

Add '-12' to each side of the equation.
12 + -12 + 3v = 12 + -12 + 27v

Combine like terms: 12 + -12 = 0
0 + 3v = 12 + -12 + 27v
3v = 12 + -12 + 27v

Combine like terms: 12 + -12 = 0
3v = 0 + 27v
3v = 27v

Solving
3v = 27v

Solving for variable 'v'.

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

Add '-27v' to each side of the equation.
3v + -27v = 27v + -27v

Combine like terms: 3v + -27v = -24v
-24v = 27v + -27v

Combine like terms: 27v + -27v = 0
-24v = 0

Divide each side by '-24'.
v = 0

Simplifying
v = 0