-2(4v-3)+4v=6+2(6v-9)

Solution for -2(4v-3)+4v=6+2(6v-9) equation:

Simplifying
-2(4v + -3) + 4v = 6 + 2(6v + -9)

Reorder the terms:
-2(-3 + 4v) + 4v = 6 + 2(6v + -9)
(-3 * -2 + 4v * -2) + 4v = 6 + 2(6v + -9)
(6 + -8v) + 4v = 6 + 2(6v + -9)

Combine like terms: -8v + 4v = -4v
6 + -4v = 6 + 2(6v + -9)

Reorder the terms:
6 + -4v = 6 + 2(-9 + 6v)
6 + -4v = 6 + (-9 * 2 + 6v * 2)
6 + -4v = 6 + (-18 + 12v)

Combine like terms: 6 + -18 = -12
6 + -4v = -12 + 12v

Solving
6 + -4v = -12 + 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 + -4v + -12v = -12 + 12v + -12v

Combine like terms: -4v + -12v = -16v
6 + -16v = -12 + 12v + -12v

Combine like terms: 12v + -12v = 0
6 + -16v = -12 + 0
6 + -16v = -12

Add '-6' to each side of the equation.
6 + -6 + -16v = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -16v = -12 + -6
-16v = -12 + -6

Combine like terms: -12 + -6 = -18
-16v = -18

Divide each side by '-16'.
v = 1.125

Simplifying
v = 1.125