simplify by removing factors of 1

4w-24/6-w

4(w-6)/(6-w)= -4(w-6)/(w-6)=-4

To simplify the expression (4w - 24) / (6 - w) by removing factors of 1, we need to rewrite the expression in a way that eliminates any common factors.

First, let's factor out any common factors in both the numerator and denominator.

Notice that 4w - 24 can be factored as 4(w - 6), and 6 - w can be rewritten as -(w - 6) by factoring out -1.

So, the expression becomes:
4(w - 6) / -1(w - 6)

Now, we can cancel out the common factor (w - 6) in the numerator and denominator.

The simplified expression is:
4 / -1

Therefore, the answer is -4.