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

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

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

Reorder the terms:
6v + -3 + 3(3 + 2v) = -3(v + 1)
6v + -3 + (3 * 3 + 2v * 3) = -3(v + 1)
6v + -3 + (9 + 6v) = -3(v + 1)

Reorder the terms:
-3 + 9 + 6v + 6v = -3(v + 1)

Combine like terms: -3 + 9 = 6
6 + 6v + 6v = -3(v + 1)

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

Reorder the terms:
6 + 12v = -3(1 + v)
6 + 12v = (1 * -3 + v * -3)
6 + 12v = (-3 + -3v)

Solving
6 + 12v = -3 + -3v

Solving for variable 'v'.

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

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

Combine like terms: 12v + 3v = 15v
6 + 15v = -3 + -3v + 3v

Combine like terms: -3v + 3v = 0
6 + 15v = -3 + 0
6 + 15v = -3

Add '-6' to each side of the equation.
6 + -6 + 15v = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 15v = -3 + -6
15v = -3 + -6

Combine like terms: -3 + -6 = -9
15v = -9

Divide each side by '15'.
v = -0.6

Simplifying
v = -0.6