4v-v=6(6+4v)+6(1-3v)

Solution for 4v-v=6(6+4v)+6(1-3v) equation:

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

Combine like terms: 4v + -1v = 3v
3v = 6(6 + 4v) + 6(1 + -3v)
3v = (6 * 6 + 4v * 6) + 6(1 + -3v)
3v = (36 + 24v) + 6(1 + -3v)
3v = 36 + 24v + (1 * 6 + -3v * 6)
3v = 36 + 24v + (6 + -18v)

Reorder the terms:
3v = 36 + 6 + 24v + -18v

Combine like terms: 36 + 6 = 42
3v = 42 + 24v + -18v

Combine like terms: 24v + -18v = 6v
3v = 42 + 6v

Solving
3v = 42 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
3v + -6v = 42 + 6v + -6v

Combine like terms: 3v + -6v = -3v
-3v = 42 + 6v + -6v

Combine like terms: 6v + -6v = 0
-3v = 42 + 0
-3v = 42

Divide each side by '-3'.
v = -14

Simplifying
v = -14