-2(7v-3)+8v=2+2(4v-7)

Solution for -2(7v-3)+8v=2+2(4v-7) equation:

Simplifying
-2(7v + -3) + 8v = 2 + 2(4v + -7)

Reorder the terms:
-2(-3 + 7v) + 8v = 2 + 2(4v + -7)
(-3 * -2 + 7v * -2) + 8v = 2 + 2(4v + -7)
(6 + -14v) + 8v = 2 + 2(4v + -7)

Combine like terms: -14v + 8v = -6v
6 + -6v = 2 + 2(4v + -7)

Reorder the terms:
6 + -6v = 2 + 2(-7 + 4v)
6 + -6v = 2 + (-7 * 2 + 4v * 2)
6 + -6v = 2 + (-14 + 8v)

Combine like terms: 2 + -14 = -12
6 + -6v = -12 + 8v

Solving
6 + -6v = -12 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
6 + -6v + -8v = -12 + 8v + -8v

Combine like terms: -6v + -8v = -14v
6 + -14v = -12 + 8v + -8v

Combine like terms: 8v + -8v = 0
6 + -14v = -12 + 0
6 + -14v = -12

Add '-6' to each side of the equation.
6 + -6 + -14v = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -14v = -12 + -6
-14v = -12 + -6

Combine like terms: -12 + -6 = -18
-14v = -18

Divide each side by '-14'.
v = 1.285714286

Simplifying
v = 1.285714286