6=6v+6(v-7)

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

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

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

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

Combine like terms: 6v + 6v = 12v
6 = -42 + 12v

Solving
6 = -42 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
6 + -12v = -42 + 12v + -12v

Combine like terms: 12v + -12v = 0
6 + -12v = -42 + 0
6 + -12v = -42

Add '-6' to each side of the equation.
6 + -6 + -12v = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -12v = -42 + -6
-12v = -42 + -6

Combine like terms: -42 + -6 = -48
-12v = -48

Divide each side by '-12'.
v = 4

Simplifying
v = 4