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

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

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

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

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

Reorder the terms:
-2 + -2v = -6 + 6 + v + 9v

Combine like terms: -6 + 6 = 0
-2 + -2v = 0 + v + 9v
-2 + -2v = v + 9v

Combine like terms: v + 9v = 10v
-2 + -2v = 10v

Solving
-2 + -2v = 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
-2 + -2v + -10v = 10v + -10v

Combine like terms: -2v + -10v = -12v
-2 + -12v = 10v + -10v

Combine like terms: 10v + -10v = 0
-2 + -12v = 0

Add '2' to each side of the equation.
-2 + 2 + -12v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -12v = 0 + 2
-12v = 0 + 2

Combine like terms: 0 + 2 = 2
-12v = 2

Divide each side by '-12'.
v = -0.1666666667

Simplifying
v = -0.1666666667