Confusing math homework?!?

14v+6=2(5+7v)-4

Let's simplify the right side. Start by dividing both sides by 2.

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

Then add 2 to both sides

7v+5=5+7v

from here you see that they are exactly equal to each other so you could stop and say v=1

but that doesnt always happen so lets continue. subtract 5 from both sides

7v=7v

divide both sides by 7

v=v

1v/1v the v's cancel and you get 1. v=1

"Guest" did a pretty good job, but when he gets to this:

7v+5=5+7v  

We have an identity.......both sides are exactly the same...so......any value of v will  make this equation true....!!!