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

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

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

Reorder the terms:
4v + 3 + -3(-1 + -4v) = 4(v + -1)
4v + 3 + (-1 * -3 + -4v * -3) = 4(v + -1)
4v + 3 + (3 + 12v) = 4(v + -1)

Reorder the terms:
3 + 3 + 4v + 12v = 4(v + -1)

Combine like terms: 3 + 3 = 6
6 + 4v + 12v = 4(v + -1)

Combine like terms: 4v + 12v = 16v
6 + 16v = 4(v + -1)

Reorder the terms:
6 + 16v = 4(-1 + v)
6 + 16v = (-1 * 4 + v * 4)
6 + 16v = (-4 + 4v)

Solving
6 + 16v = -4 + 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 + 16v + -4v = -4 + 4v + -4v

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

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

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

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

Combine like terms: -4 + -6 = -10
12v = -10

Divide each side by '12'.
v = -0.8333333333

Simplifying
v = -0.8333333333