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

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

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

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

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

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

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

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

Solving
-1 + 9v = -6 + -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.
-1 + 9v + 6v = -6 + -6v + 6v

Combine like terms: 9v + 6v = 15v
-1 + 15v = -6 + -6v + 6v

Combine like terms: -6v + 6v = 0
-1 + 15v = -6 + 0
-1 + 15v = -6

Add '1' to each side of the equation.
-1 + 1 + 15v = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 15v = -6 + 1
15v = -6 + 1

Combine like terms: -6 + 1 = -5
15v = -5

Divide each side by '15'.
v = -0.3333333333

Simplifying
v = -0.3333333333