Do I need add this to my 2018 taxes. I received a notice of deficiency for 2016 in 2018 I paid the 9638.00.

[Critter · Accepted solution]

No ... federal balance dues for prior tax years are not entered anywhere on the federal return ... 

There are six states that allow you to enter the federal tax you paid on your state return--Alabama, Iowa. Louisiana, Missouri, Montana, and Oregon.  If you are filing in one of these states watch for the deduction when you prepare your state return.