-3+9(v+1)=5(3v+12)

Solution for -3+9(v+1)=5(3v+12) equation:

Simplifying
-3 + 9(v + 1) = 5(3v + 12)

Reorder the terms:
-3 + 9(1 + v) = 5(3v + 12)
-3 + (1 * 9 + v * 9) = 5(3v + 12)
-3 + (9 + 9v) = 5(3v + 12)

Combine like terms: -3 + 9 = 6
6 + 9v = 5(3v + 12)

Reorder the terms:
6 + 9v = 5(12 + 3v)
6 + 9v = (12 * 5 + 3v * 5)
6 + 9v = (60 + 15v)

Solving
6 + 9v = 60 + 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 + 9v + -15v = 60 + 15v + -15v

Combine like terms: 9v + -15v = -6v
6 + -6v = 60 + 15v + -15v

Combine like terms: 15v + -15v = 0
6 + -6v = 60 + 0
6 + -6v = 60

Add '-6' to each side of the equation.
6 + -6 + -6v = 60 + -6

Combine like terms: 6 + -6 = 0
0 + -6v = 60 + -6
-6v = 60 + -6

Combine like terms: 60 + -6 = 54
-6v = 54

Divide each side by '-6'.
v = -9

Simplifying
v = -9