3(v+2)=9v+42

Solution for 3(v+2)=9v+42 equation:

Simplifying
3(v + 2) = 9v + 42

Reorder the terms:
3(2 + v) = 9v + 42
(2 * 3 + v * 3) = 9v + 42
(6 + 3v) = 9v + 42

Reorder the terms:
6 + 3v = 42 + 9v

Solving
6 + 3v = 42 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
6 + 3v + -9v = 42 + 9v + -9v

Combine like terms: 3v + -9v = -6v
6 + -6v = 42 + 9v + -9v

Combine like terms: 9v + -9v = 0
6 + -6v = 42 + 0
6 + -6v = 42

Add '-6' to each side of the equation.
6 + -6 + -6v = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -6v = 42 + -6
-6v = 42 + -6

Combine like terms: 42 + -6 = 36
-6v = 36

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

Simplifying
v = -6