3(2+v)-9v=v+16

Solution for 3(2+v)-9v=v+16 equation:

Simplifying
3(2 + v) + -9v = v + 16
(2 * 3 + v * 3) + -9v = v + 16
(6 + 3v) + -9v = v + 16

Combine like terms: 3v + -9v = -6v
6 + -6v = v + 16

Reorder the terms:
6 + -6v = 16 + v

Solving
6 + -6v = 16 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
6 + -6v + -1v = 16 + v + -1v

Combine like terms: -6v + -1v = -7v
6 + -7v = 16 + v + -1v

Combine like terms: v + -1v = 0
6 + -7v = 16 + 0
6 + -7v = 16

Add '-6' to each side of the equation.
6 + -6 + -7v = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -7v = 16 + -6
-7v = 16 + -6

Combine like terms: 16 + -6 = 10
-7v = 10

Divide each side by '-7'.
v = -1.428571429

Simplifying
v = -1.428571429