-2(v+3)=7(5v+5)+4v

Solution for -2(v+3)=7(5v+5)+4v equation:

Simplifying
-2(v + 3) = 7(5v + 5) + 4v

Reorder the terms:
-2(3 + v) = 7(5v + 5) + 4v
(3 * -2 + v * -2) = 7(5v + 5) + 4v
(-6 + -2v) = 7(5v + 5) + 4v

Reorder the terms:
-6 + -2v = 7(5 + 5v) + 4v
-6 + -2v = (5 * 7 + 5v * 7) + 4v
-6 + -2v = (35 + 35v) + 4v

Combine like terms: 35v + 4v = 39v
-6 + -2v = 35 + 39v

Solving
-6 + -2v = 35 + 39v

Solving for variable 'v'.

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

Add '-39v' to each side of the equation.
-6 + -2v + -39v = 35 + 39v + -39v

Combine like terms: -2v + -39v = -41v
-6 + -41v = 35 + 39v + -39v

Combine like terms: 39v + -39v = 0
-6 + -41v = 35 + 0
-6 + -41v = 35

Add '6' to each side of the equation.
-6 + 6 + -41v = 35 + 6

Combine like terms: -6 + 6 = 0
0 + -41v = 35 + 6
-41v = 35 + 6

Combine like terms: 35 + 6 = 41
-41v = 41

Divide each side by '-41'.
v = -1

Simplifying
v = -1