6+3(2v-1)=-4(3v-3)+6v

Solution for 6+3(2v-1)=-4(3v-3)+6v equation:

Simplifying
6 + 3(2v + -1) = -4(3v + -3) + 6v

Reorder the terms:
6 + 3(-1 + 2v) = -4(3v + -3) + 6v
6 + (-1 * 3 + 2v * 3) = -4(3v + -3) + 6v
6 + (-3 + 6v) = -4(3v + -3) + 6v

Combine like terms: 6 + -3 = 3
3 + 6v = -4(3v + -3) + 6v

Reorder the terms:
3 + 6v = -4(-3 + 3v) + 6v
3 + 6v = (-3 * -4 + 3v * -4) + 6v
3 + 6v = (12 + -12v) + 6v

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

Solving
3 + 6v = 12 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
3 + 6v + 6v = 12 + -6v + 6v

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

Combine like terms: -6v + 6v = 0
3 + 12v = 12 + 0
3 + 12v = 12

Add '-3' to each side of the equation.
3 + -3 + 12v = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 12v = 12 + -3
12v = 12 + -3

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

Divide each side by '12'.
v = 0.75

Simplifying
v = 0.75