-2(4v-3)+2v=3(v+7)

Solution for -2(4v-3)+2v=3(v+7) equation:

Simplifying
-2(4v + -3) + 2v = 3(v + 7)

Reorder the terms:
-2(-3 + 4v) + 2v = 3(v + 7)
(-3 * -2 + 4v * -2) + 2v = 3(v + 7)
(6 + -8v) + 2v = 3(v + 7)

Combine like terms: -8v + 2v = -6v
6 + -6v = 3(v + 7)

Reorder the terms:
6 + -6v = 3(7 + v)
6 + -6v = (7 * 3 + v * 3)
6 + -6v = (21 + 3v)

Solving
6 + -6v = 21 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
6 + -6v + -3v = 21 + 3v + -3v

Combine like terms: -6v + -3v = -9v
6 + -9v = 21 + 3v + -3v

Combine like terms: 3v + -3v = 0
6 + -9v = 21 + 0
6 + -9v = 21

Add '-6' to each side of the equation.
6 + -6 + -9v = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -9v = 21 + -6
-9v = 21 + -6

Combine like terms: 21 + -6 = 15
-9v = 15

Divide each side by '-9'.
v = -1.666666667

Simplifying
v = -1.666666667