6v-42=-6(v+1)

Solution for 6v-42=-6(v+1) equation:

Simplifying
6v + -42 = -6(v + 1)

Reorder the terms:
-42 + 6v = -6(v + 1)

Reorder the terms:
-42 + 6v = -6(1 + v)
-42 + 6v = (1 * -6 + v * -6)
-42 + 6v = (-6 + -6v)

Solving
-42 + 6v = -6 + -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.
-42 + 6v + 6v = -6 + -6v + 6v

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

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

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

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

Combine like terms: -6 + 42 = 36
12v = 36

Divide each side by '12'.
v = 3

Simplifying
v = 3