-6(v+1)=2v-7+2(2v+5)

Solution for -6(v+1)=2v-7+2(2v+5) equation:

Simplifying
-6(v + 1) = 2v + -7 + 2(2v + 5)

Reorder the terms:
-6(1 + v) = 2v + -7 + 2(2v + 5)
(1 * -6 + v * -6) = 2v + -7 + 2(2v + 5)
(-6 + -6v) = 2v + -7 + 2(2v + 5)

Reorder the terms:
-6 + -6v = 2v + -7 + 2(5 + 2v)
-6 + -6v = 2v + -7 + (5 * 2 + 2v * 2)
-6 + -6v = 2v + -7 + (10 + 4v)

Reorder the terms:
-6 + -6v = -7 + 10 + 2v + 4v

Combine like terms: -7 + 10 = 3
-6 + -6v = 3 + 2v + 4v

Combine like terms: 2v + 4v = 6v
-6 + -6v = 3 + 6v

Solving
-6 + -6v = 3 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-6 + -6v + -6v = 3 + 6v + -6v

Combine like terms: -6v + -6v = -12v
-6 + -12v = 3 + 6v + -6v

Combine like terms: 6v + -6v = 0
-6 + -12v = 3 + 0
-6 + -12v = 3

Add '6' to each side of the equation.
-6 + 6 + -12v = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -12v = 3 + 6
-12v = 3 + 6

Combine like terms: 3 + 6 = 9
-12v = 9

Divide each side by '-12'.
v = -0.75

Simplifying
v = -0.75