How do you simplify #-|8 -2| - |1 - 6| +|3 -4| - |2 +5| #?
Just remember how the absolute value works: it always returns the positive version of the number it has inside itself. So, the absolute value of a positive number is the positive number itself, while the absolute value of a negative number is the positive version of that number. In formulas:
So, let's see what's inside your absolute values: your equation is
Doing the sums and differences inside the absolute values gives
And now use what I said at the beginning: the absolute value of