Question 875821
-|6-9a|=16 is the same as |6-9a| = -16 after you multiply both sides by -1



Absolute value represents distance the number is from 0. 



Distance can never be negative because negative distance makes no sense.



That means |6-9a| = -16 makes no sense. The expression |6-9a| is NEVER negative.



So the equation |6-9a| = -16 has NO solutions.



Consequently, -|6-9a|=16 has <font color="red">NO solutions</font>. No matter what you plug in for 'a', you will never be able to make that equation true.