The Tablet is the Keyboard

I have a (new) Nexus 7 and love it. I'm trying to downsize everything I have and am sick of carrying around gigantic computing equipment. I'd love to get by with just carrying the N7 and my phone (currently the Galaxy Nexus but an upgrade is nigh).

So here's the question: Is there a way I can connect my N7 to my Galaxy Nexus via bluetooth and use the N7 as the keyboard to type on my GNexus?