7v+3-3(-3v-1)=2(v-3)

Solution for 7v+3-3(-3v-1)=2(v-3) equation:

Simplifying
7v + 3 + -3(-3v + -1) = 2(v + -3)

Reorder the terms:
7v + 3 + -3(-1 + -3v) = 2(v + -3)
7v + 3 + (-1 * -3 + -3v * -3) = 2(v + -3)
7v + 3 + (3 + 9v) = 2(v + -3)

Reorder the terms:
3 + 3 + 7v + 9v = 2(v + -3)

Combine like terms: 3 + 3 = 6
6 + 7v + 9v = 2(v + -3)

Combine like terms: 7v + 9v = 16v
6 + 16v = 2(v + -3)

Reorder the terms:
6 + 16v = 2(-3 + v)
6 + 16v = (-3 * 2 + v * 2)
6 + 16v = (-6 + 2v)

Solving
6 + 16v = -6 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
6 + 16v + -2v = -6 + 2v + -2v

Combine like terms: 16v + -2v = 14v
6 + 14v = -6 + 2v + -2v

Combine like terms: 2v + -2v = 0
6 + 14v = -6 + 0
6 + 14v = -6

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

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

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

Divide each side by '14'.
v = -0.8571428571

Simplifying
v = -0.8571428571