Solve the forking equation 3+6z=13+6z

This looks like a 2 step equation, so here's what we'll do:

1) We need to isolate our variable, so we're going to subtract 6z from both sides.  This is a special case where our variables' coefficients have the same value, so they will cancel out.

3+6z=13+6z
  - 6z      - 6z

3=13

2)  We are left with... 3=13.  We're going to subtract 3 from both sides to get this:

     3=13
   - 3  - 3

      0=13

3) We see that our answer is 0=13, but we know that 0 cannot equal 13!  So, since we cannot simplify any further, our answer will come out to be...

NO SOLUTION.

The reason we get [NO SOLUTION] as our answer is because we were originally trying to get a value for our variable.  However, the variable does not have a value, so since there is no value for our variable, there is no solution.