GNU/Linux Kali Printer HP Smart Tank 580/590 Setup – Step by step Guide
The linked tutorial shows you step-by-step How to Install HP Smart Tank 580/590 Printer on Kali GNU/Linux desktop – Step by step Tutorial.
And the HP Smart Tank 580/590 Driver Installation on Kali it’s quick and easy because it only involves running a few Basic Shell Commands.
Most noteworthy: after the Driver Installation Installation to achieve the Setup follow the included instructions to Add Printer!

GNU/Linux Kali HP Smart Tank 580/590 Printer Installation Guide