-3(v+4)=9v-6+2(2v+3)

Solution for -3(v+4)=9v-6+2(2v+3) equation:

Simplifying
-3(v + 4) = 9v + -6 + 2(2v + 3)

Reorder the terms:
-3(4 + v) = 9v + -6 + 2(2v + 3)
(4 * -3 + v * -3) = 9v + -6 + 2(2v + 3)
(-12 + -3v) = 9v + -6 + 2(2v + 3)

Reorder the terms:
-12 + -3v = 9v + -6 + 2(3 + 2v)
-12 + -3v = 9v + -6 + (3 * 2 + 2v * 2)
-12 + -3v = 9v + -6 + (6 + 4v)

Reorder the terms:
-12 + -3v = -6 + 6 + 9v + 4v

Combine like terms: -6 + 6 = 0
-12 + -3v = 0 + 9v + 4v
-12 + -3v = 9v + 4v

Combine like terms: 9v + 4v = 13v
-12 + -3v = 13v

Solving
-12 + -3v = 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-12 + -3v + -13v = 13v + -13v

Combine like terms: -3v + -13v = -16v
-12 + -16v = 13v + -13v

Combine like terms: 13v + -13v = 0
-12 + -16v = 0

Add '12' to each side of the equation.
-12 + 12 + -16v = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -16v = 0 + 12
-16v = 0 + 12

Combine like terms: 0 + 12 = 12
-16v = 12

Divide each side by '-16'.
v = -0.75

Simplifying
v = -0.75