Rewrite in simplest terms

-4w -9(-4w +9)

One way to simplify this expression is to distribute the negative sign that is in front of the parenthesis to each term inside the parenthesis.

-4w - 9(-4w + 9) can be written as -4w -1*(-4w) -1*9.

This further simplifies to -4w + 4w - 9.

Since -4w and 4w are like terms and add up to 0, we are left with - 9 as the simplest term.