8v+1-3(-2v-3)=2(v-3)

Solution for 8v+1-3(-2v-3)=2(v-3) equation:

Simplifying
8v + 1 + -3(-2v + -3) = 2(v + -3)

Reorder the terms:
8v + 1 + -3(-3 + -2v) = 2(v + -3)
8v + 1 + (-3 * -3 + -2v * -3) = 2(v + -3)
8v + 1 + (9 + 6v) = 2(v + -3)

Reorder the terms:
1 + 9 + 8v + 6v = 2(v + -3)

Combine like terms: 1 + 9 = 10
10 + 8v + 6v = 2(v + -3)

Combine like terms: 8v + 6v = 14v
10 + 14v = 2(v + -3)

Reorder the terms:
10 + 14v = 2(-3 + v)
10 + 14v = (-3 * 2 + v * 2)
10 + 14v = (-6 + 2v)

Solving
10 + 14v = -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.
10 + 14v + -2v = -6 + 2v + -2v

Combine like terms: 14v + -2v = 12v
10 + 12v = -6 + 2v + -2v

Combine like terms: 2v + -2v = 0
10 + 12v = -6 + 0
10 + 12v = -6

Add '-10' to each side of the equation.
10 + -10 + 12v = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 12v = -6 + -10
12v = -6 + -10

Combine like terms: -6 + -10 = -16
12v = -16

Divide each side by '12'.
v = -1.333333333

Simplifying
v = -1.333333333