SOLUTION: I'm sorry, but question 14557 is answered incorrectly if the problem is as stated. As it appears on screen in the solution by elima, the correct solution is n= -(1/32). I don't ne

It all depends on whether the letter n is in the denominator or not:

If it is this way   

    14 - n = 22

The solution is -32.

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However, if it is this way
 
  14 -  = 22

The solution is 

So you are considering the n to be in the denominator.

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Copied exactly as it was given in 14557 

14-1/4*n=22

The order of operations (PEMDAS) say that division and multiplication are
taken by whichever comes first, so when you check it with -32
in the order of operations:

14-1/4*(-32) = 22

We do the division of 1 by 4 first and get .25, because the division
comes first going left to right.

14-.25*(-32) = 22

Next we do the multiplication:

14+8         = 22

  22         = 22

So -32 is correct by the order of operations.   

Edwin