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

Solution for 6-2v+4v=6(4-3v)-2(1-6v) equation:

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

Combine like terms: -2v + 4v = 2v
6 + 2v = 6(4 + -3v) + -2(1 + -6v)
6 + 2v = (4 * 6 + -3v * 6) + -2(1 + -6v)
6 + 2v = (24 + -18v) + -2(1 + -6v)
6 + 2v = 24 + -18v + (1 * -2 + -6v * -2)
6 + 2v = 24 + -18v + (-2 + 12v)

Reorder the terms:
6 + 2v = 24 + -2 + -18v + 12v

Combine like terms: 24 + -2 = 22
6 + 2v = 22 + -18v + 12v

Combine like terms: -18v + 12v = -6v
6 + 2v = 22 + -6v

Solving
6 + 2v = 22 + -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.
6 + 2v + 6v = 22 + -6v + 6v

Combine like terms: 2v + 6v = 8v
6 + 8v = 22 + -6v + 6v

Combine like terms: -6v + 6v = 0
6 + 8v = 22 + 0
6 + 8v = 22

Add '-6' to each side of the equation.
6 + -6 + 8v = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 8v = 22 + -6
8v = 22 + -6

Combine like terms: 22 + -6 = 16
8v = 16

Divide each side by '8'.
v = 2

Simplifying
v = 2