Please let me know if I simplified this correctly.

Simplify:
-5w squared + 23-(29-4w squared +9)

-5w squrd + 23 - 29 + 4w squrd -9
-1w to the fourth power + -15

Thanks!!!

Online "^" is used to indicate an exponent.

-5w^2 + 23 - (29 - 4w^2 + 9) =

-5w^2 + 23 - 29 + 4w^2 - 9 =

4w^2 - 5w^2 = -w^2

-w^2 - 15