9v+72=6v-42

Solution for 9v+72=6v-42 equation:

Simplifying
9v + 72 = 6v + -42

Reorder the terms:
72 + 9v = 6v + -42

Reorder the terms:
72 + 9v = -42 + 6v

Solving
72 + 9v = -42 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
72 + 9v + -6v = -42 + 6v + -6v

Combine like terms: 9v + -6v = 3v
72 + 3v = -42 + 6v + -6v

Combine like terms: 6v + -6v = 0
72 + 3v = -42 + 0
72 + 3v = -42

Add '-72' to each side of the equation.
72 + -72 + 3v = -42 + -72

Combine like terms: 72 + -72 = 0
0 + 3v = -42 + -72
3v = -42 + -72

Combine like terms: -42 + -72 = -114
3v = -114

Divide each side by '3'.
v = -38

Simplifying
v = -38