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

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

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

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

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

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

Combine like terms: 1 + 3 = 4
-6 + 3v = 4 + 6v + 9v

Combine like terms: 6v + 9v = 15v
-6 + 3v = 4 + 15v

Solving
-6 + 3v = 4 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
-6 + 3v + -15v = 4 + 15v + -15v

Combine like terms: 3v + -15v = -12v
-6 + -12v = 4 + 15v + -15v

Combine like terms: 15v + -15v = 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