-4(v+3)+2v+6=7v+6

Solution for -4(v+3)+2v+6=7v+6 equation:

Simplifying
-4(v + 3) + 2v + 6 = 7v + 6

Reorder the terms:
-4(3 + v) + 2v + 6 = 7v + 6
(3 * -4 + v * -4) + 2v + 6 = 7v + 6
(-12 + -4v) + 2v + 6 = 7v + 6

Reorder the terms:
-12 + 6 + -4v + 2v = 7v + 6

Combine like terms: -12 + 6 = -6
-6 + -4v + 2v = 7v + 6

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

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

Solving
-6 + -2v = 6 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-6 + -2v + -7v = 6 + 7v + -7v

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

Combine like terms: 7v + -7v = 0
-6 + -9v = 6 + 0
-6 + -9v = 6

Add '6' to each side of the equation.
-6 + 6 + -9v = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -9v = 6 + 6
-9v = 6 + 6

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

Divide each side by '-9'.
v = -1.333333333

Simplifying
v = -1.333333333