Step-by-step explanation
Our task is to simplify the following:
||-4| - |-16||
So first, we are going to find the absolute value of -4:
|-4| = 4
Next, we find the absolute value of -16:
|-16| = 16
Now, we subtract 4 - 16:
4 - 16 = -12
And, now, we find the absolute value of that:
|-12| = 12
Therefore, the answer is 12.