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

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

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

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

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

Combine like terms: 4 + 2 = 6
6 + 4v + 4v = 4(v + -3)

Combine like terms: 4v + 4v = 8v
6 + 8v = 4(v + -3)

Reorder the terms:
6 + 8v = 4(-3 + v)
6 + 8v = (-3 * 4 + v * 4)
6 + 8v = (-12 + 4v)

Solving
6 + 8v = -12 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
6 + 8v + -4v = -12 + 4v + -4v

Combine like terms: 8v + -4v = 4v
6 + 4v = -12 + 4v + -4v

Combine like terms: 4v + -4v = 0
6 + 4v = -12 + 0
6 + 4v = -12

Add '-6' to each side of the equation.
6 + -6 + 4v = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 4v = -12 + -6
4v = -12 + -6

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

Divide each side by '4'.
v = -4.5

Simplifying
v = -4.5