2v-6+2(4v+3)=-6(v+2)

Solution for 2v-6+2(4v+3)=-6(v+2) equation:

Simplifying
2v + -6 + 2(4v + 3) = -6(v + 2)

Reorder the terms:
2v + -6 + 2(3 + 4v) = -6(v + 2)
2v + -6 + (3 * 2 + 4v * 2) = -6(v + 2)
2v + -6 + (6 + 8v) = -6(v + 2)

Reorder the terms:
-6 + 6 + 2v + 8v = -6(v + 2)

Combine like terms: -6 + 6 = 0
0 + 2v + 8v = -6(v + 2)
2v + 8v = -6(v + 2)

Combine like terms: 2v + 8v = 10v
10v = -6(v + 2)

Reorder the terms:
10v = -6(2 + v)
10v = (2 * -6 + v * -6)
10v = (-12 + -6v)

Solving
10v = -12 + -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.
10v + 6v = -12 + -6v + 6v

Combine like terms: 10v + 6v = 16v
16v = -12 + -6v + 6v

Combine like terms: -6v + 6v = 0
16v = -12 + 0
16v = -12

Divide each side by '16'.
v = -0.75

Simplifying
v = -0.75