2v-1+7(2v+1)=-2(v+5)

Solution for 2v-1+7(2v+1)=-2(v+5) equation:

Simplifying
2v + -1 + 7(2v + 1) = -2(v + 5)

Reorder the terms:
2v + -1 + 7(1 + 2v) = -2(v + 5)
2v + -1 + (1 * 7 + 2v * 7) = -2(v + 5)
2v + -1 + (7 + 14v) = -2(v + 5)

Reorder the terms:
-1 + 7 + 2v + 14v = -2(v + 5)

Combine like terms: -1 + 7 = 6
6 + 2v + 14v = -2(v + 5)

Combine like terms: 2v + 14v = 16v
6 + 16v = -2(v + 5)

Reorder the terms:
6 + 16v = -2(5 + v)
6 + 16v = (5 * -2 + v * -2)
6 + 16v = (-10 + -2v)

Solving
6 + 16v = -10 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
6 + 16v + 2v = -10 + -2v + 2v

Combine like terms: 16v + 2v = 18v
6 + 18v = -10 + -2v + 2v

Combine like terms: -2v + 2v = 0
6 + 18v = -10 + 0
6 + 18v = -10

Add '-6' to each side of the equation.
6 + -6 + 18v = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 18v = -10 + -6
18v = -10 + -6

Combine like terms: -10 + -6 = -16
18v = -16

Divide each side by '18'.
v = -0.8888888889

Simplifying
v = -0.8888888889