-6(1+2v)+7(3v+6)=-6+7v-5v

Solution for -6(1+2v)+7(3v+6)=-6+7v-5v equation:

Simplifying
-6(1 + 2v) + 7(3v + 6) = -6 + 7v + -5v
(1 * -6 + 2v * -6) + 7(3v + 6) = -6 + 7v + -5v
(-6 + -12v) + 7(3v + 6) = -6 + 7v + -5v

Reorder the terms:
-6 + -12v + 7(6 + 3v) = -6 + 7v + -5v
-6 + -12v + (6 * 7 + 3v * 7) = -6 + 7v + -5v
-6 + -12v + (42 + 21v) = -6 + 7v + -5v

Reorder the terms:
-6 + 42 + -12v + 21v = -6 + 7v + -5v

Combine like terms: -6 + 42 = 36
36 + -12v + 21v = -6 + 7v + -5v

Combine like terms: -12v + 21v = 9v
36 + 9v = -6 + 7v + -5v

Combine like terms: 7v + -5v = 2v
36 + 9v = -6 + 2v

Solving
36 + 9v = -6 + 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.
36 + 9v + -2v = -6 + 2v + -2v

Combine like terms: 9v + -2v = 7v
36 + 7v = -6 + 2v + -2v

Combine like terms: 2v + -2v = 0
36 + 7v = -6 + 0
36 + 7v = -6

Add '-36' to each side of the equation.
36 + -36 + 7v = -6 + -36

Combine like terms: 36 + -36 = 0
0 + 7v = -6 + -36
7v = -6 + -36

Combine like terms: -6 + -36 = -42
7v = -42

Divide each side by '7'.
v = -6

Simplifying
v = -6