-6=2(v+3)-8v

Solution for -6=2(v+3)-8v equation:

Simplifying
-6 = 2(v + 3) + -8v

Reorder the terms:
-6 = 2(3 + v) + -8v
-6 = (3 * 2 + v * 2) + -8v
-6 = (6 + 2v) + -8v

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

Solving
-6 = 6 + -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 + 6v = 6 + -6v + 6v

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

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

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

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

Divide each side by '6'.
v = 2

Simplifying
v = 2