7v+7(3v+6)=

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

Simplifying
7v + 7(3v + 6) = 0

Reorder the terms:
7v + 7(6 + 3v) = 0
7v + (6 * 7 + 3v * 7) = 0
7v + (42 + 21v) = 0

Reorder the terms:
42 + 7v + 21v = 0

Combine like terms: 7v + 21v = 28v
42 + 28v = 0

Solving
42 + 28v = 0

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 + 28v = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 28v = 0 + -42
28v = 0 + -42

Combine like terms: 0 + -42 = -42
28v = -42

Divide each side by '28'.
v = -1.5

Simplifying
v = -1.5