2(1+v)=-6+4v

Solution for 2(1+v)=-6+4v equation:

Simplifying
2(1 + v) = -6 + 4v
(1 * 2 + v * 2) = -6 + 4v
(2 + 2v) = -6 + 4v

Solving
2 + 2v = -6 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
2 + 2v + -4v = -6 + 4v + -4v

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

Combine like terms: 4v + -4v = 0
2 + -2v = -6 + 0
2 + -2v = -6

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

Combine like terms: 2 + -2 = 0
0 + -2v = -6 + -2
-2v = -6 + -2

Combine like terms: -6 + -2 = -8
-2v = -8

Divide each side by '-2'.
v = 4

Simplifying
v = 4