in iTerm, you can send a command to execute simultaneously on a set of already opened tabs. Is there a way to do this in linux (with gnome-terminal preferably)?

for instance, supposed that I had 10 tabs already ssh'd into [email protected] and sudoed to root and wanted to send a command to run on all 10 tabs.

The goal of this is to be able to stay within a set of tabs and command them, rather than having to use expect scripts to ssh and elevate and run commands. Basically, like how you could do in iTerm.