-109=-5+2(4-7v)

Solution for -109=-5+2(4-7v) equation:

Simplifying
-109 = -5 + 2(4 + -7v)
-109 = -5 + (4 * 2 + -7v * 2)
-109 = -5 + (8 + -14v)

Combine like terms: -5 + 8 = 3
-109 = 3 + -14v

Solving
-109 = 3 + -14v

Solving for variable 'v'.

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

Add '14v' to each side of the equation.
-109 + 14v = 3 + -14v + 14v

Combine like terms: -14v + 14v = 0
-109 + 14v = 3 + 0
-109 + 14v = 3

Add '109' to each side of the equation.
-109 + 109 + 14v = 3 + 109

Combine like terms: -109 + 109 = 0
0 + 14v = 3 + 109
14v = 3 + 109

Combine like terms: 3 + 109 = 112
14v = 112

Divide each side by '14'.
v = 8

Simplifying
v = 8