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

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

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

Reorder the terms:
6(-7 + v) + 3v = -6
(-7 * 6 + v * 6) + 3v = -6
(-42 + 6v) + 3v = -6

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

Solving
-42 + 9v = -6

Solving for variable 'v'.

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

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

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

Combine like terms: -6 + 42 = 36
9v = 36

Divide each side by '9'.
v = 4

Simplifying
v = 4