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

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

Simplifying
-3(v + 2) = v + -6 + 2(7v + 3)

Reorder the terms:
-3(2 + v) = v + -6 + 2(7v + 3)
(2 * -3 + v * -3) = v + -6 + 2(7v + 3)
(-6 + -3v) = v + -6 + 2(7v + 3)

Reorder the terms:
-6 + -3v = v + -6 + 2(3 + 7v)
-6 + -3v = v + -6 + (3 * 2 + 7v * 2)
-6 + -3v = v + -6 + (6 + 14v)

Reorder the terms:
-6 + -3v = -6 + 6 + v + 14v

Combine like terms: -6 + 6 = 0
-6 + -3v = 0 + v + 14v
-6 + -3v = v + 14v

Combine like terms: v + 14v = 15v
-6 + -3v = 15v

Solving
-6 + -3v = 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
-6 + -3v + -15v = 15v + -15v

Combine like terms: -3v + -15v = -18v
-6 + -18v = 15v + -15v

Combine like terms: 15v + -15v = 0
-6 + -18v = 0

Add '6' to each side of the equation.
-6 + 6 + -18v = 0 + 6

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

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

Divide each side by '-18'.
v = -0.3333333333

Simplifying
v = -0.3333333333