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

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

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

Reorder the terms:
-9 + -9(3 + v) = 3 + -3(1 + -9v)
-9 + (3 * -9 + v * -9) = 3 + -3(1 + -9v)
-9 + (-27 + -9v) = 3 + -3(1 + -9v)

Combine like terms: -9 + -27 = -36
-36 + -9v = 3 + -3(1 + -9v)
-36 + -9v = 3 + (1 * -3 + -9v * -3)
-36 + -9v = 3 + (-3 + 27v)

Combine like terms: 3 + -3 = 0
-36 + -9v = 0 + 27v
-36 + -9v = 27v

Solving
-36 + -9v = 27v

Solving for variable 'v'.

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

Add '-27v' to each side of the equation.
-36 + -9v + -27v = 27v + -27v

Combine like terms: -9v + -27v = -36v
-36 + -36v = 27v + -27v

Combine like terms: 27v + -27v = 0
-36 + -36v = 0

Add '36' to each side of the equation.
-36 + 36 + -36v = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -36v = 0 + 36
-36v = 0 + 36

Combine like terms: 0 + 36 = 36
-36v = 36

Divide each side by '-36'.
v = -1

Simplifying
v = -1