-2(7v-3)+8v=3+6(2v-2)

Solution for -2(7v-3)+8v=3+6(2v-2) equation:

Simplifying
-2(7v + -3) + 8v = 3 + 6(2v + -2)

Reorder the terms:
-2(-3 + 7v) + 8v = 3 + 6(2v + -2)
(-3 * -2 + 7v * -2) + 8v = 3 + 6(2v + -2)
(6 + -14v) + 8v = 3 + 6(2v + -2)

Combine like terms: -14v + 8v = -6v
6 + -6v = 3 + 6(2v + -2)

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

Combine like terms: 3 + -12 = -9
6 + -6v = -9 + 12v

Solving
6 + -6v = -9 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
6 + -6v + -12v = -9 + 12v + -12v

Combine like terms: -6v + -12v = -18v
6 + -18v = -9 + 12v + -12v

Combine like terms: 12v + -12v = 0
6 + -18v = -9 + 0
6 + -18v = -9

Add '-6' to each side of the equation.
6 + -6 + -18v = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -18v = -9 + -6
-18v = -9 + -6

Combine like terms: -9 + -6 = -15
-18v = -15

Divide each side by '-18'.
v = 0.8333333333

Simplifying
v = 0.8333333333