I just completed the Weekly Nightfall by myself on my first attempt. I got a Legendary Fusion rifle called Light/Beware for it. My heart is beating so hard right now because I had 3 close calls on the final boss.
The only reason I think I did it is because my scout rifle has solar elemental damage.
I don't have any pictures but it can be seen in my recent games.
/blog
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I also did it solo and got the same exotic helmet I've had equipped for a week or more -.-