3(3v-2)+7v=6(v+6)+4v

Solution for 3(3v-2)+7v=6(v+6)+4v equation:

Simplifying
3(3v + -2) + 7v = 6(v + 6) + 4v

Reorder the terms:
3(-2 + 3v) + 7v = 6(v + 6) + 4v
(-2 * 3 + 3v * 3) + 7v = 6(v + 6) + 4v
(-6 + 9v) + 7v = 6(v + 6) + 4v

Combine like terms: 9v + 7v = 16v
-6 + 16v = 6(v + 6) + 4v

Reorder the terms:
-6 + 16v = 6(6 + v) + 4v
-6 + 16v = (6 * 6 + v * 6) + 4v
-6 + 16v = (36 + 6v) + 4v

Combine like terms: 6v + 4v = 10v
-6 + 16v = 36 + 10v

Solving
-6 + 16v = 36 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
-6 + 16v + -10v = 36 + 10v + -10v

Combine like terms: 16v + -10v = 6v
-6 + 6v = 36 + 10v + -10v

Combine like terms: 10v + -10v = 0
-6 + 6v = 36 + 0
-6 + 6v = 36

Add '6' to each side of the equation.
-6 + 6 + 6v = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 6v = 36 + 6
6v = 36 + 6

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

Divide each side by '6'.
v = 7

Simplifying
v = 7