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The absolute value sign changes anything that's in it to become a positive number. So -9 + 4 is -5. The | <--absolute value signs--> | will make the -5 becomes positive. So |-5| = 5.

Your answer is 5.
Absolute value indicates that we are focusing on the distance, not the direction. Which means that the sign will not be included. 

l-9+4l  

-9+4 = -5

l-5l Absolute value of -5 is 5.

Answer: 5