2(6-4v)-3(2v-8)=-6

Solution for 2(6-4v)-3(2v-8)=-6 equation:

Simplifying
2(6 + -4v) + -3(2v + -8) = -6
(6 * 2 + -4v * 2) + -3(2v + -8) = -6
(12 + -8v) + -3(2v + -8) = -6

Reorder the terms:
12 + -8v + -3(-8 + 2v) = -6
12 + -8v + (-8 * -3 + 2v * -3) = -6
12 + -8v + (24 + -6v) = -6

Reorder the terms:
12 + 24 + -8v + -6v = -6

Combine like terms: 12 + 24 = 36
36 + -8v + -6v = -6

Combine like terms: -8v + -6v = -14v
36 + -14v = -6

Solving
36 + -14v = -6

Solving for variable 'v'.

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

Add '-36' to each side of the equation.
36 + -36 + -14v = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -14v = -6 + -36
-14v = -6 + -36

Combine like terms: -6 + -36 = -42
-14v = -42

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

Simplifying
v = 3