Why did BLM burn down businesses in their own neighborhoods ? why they didn't riot in the richer suburbs?

The fact that they’re burning buildings at all is ridiculous already. There’s no logic to what they’re doing. 

Good question, they have over the last year ventured into some rich/wealthier neighbors and been alright. History though tells another tale. When they ventured out of their own, the cops did their jobs and people got hurt.  It may be a different story this time around except if it is rich liberal neighborhoods they go in.

BLM members would saw off the branch they were sitting on ,just to spite the tree.

Because the cops would waste them if they did. During the Rodney King riots in Los Angeles, the cops abandoned everyone south if Wilshire Blvd. North, was Beverly Hills and Rodeo Drive. A mad tried to drive through a barricade manned by national guard troops. He came at them at high speed, they opened fire, and the sheer impact of the bullets is what stopped his car. The car was shredded, and they took the driver out with a spatula. 

Anger is not logical.  Don't try to figure it out as if it is.  Doing that is, itself, illogical.

You suffer an apparent belief that people only do things because they make sense.  What gives you that idea?  Just look around: people do stuff all the time that makes no sense at all. And not just in anger either.

All the arson was done by Proud Boys.

First, PROVE that BLM was responsible for any burning.  All we've ever heard about that are claims from right wing media, pundits and politicians.  But actual arrest records include a significant number of alt-right extremist provocateurs, other outside agitators, and ordinary small-time crooks who are NOT BLM, but have been using BLM protests as cover for their own activities.

So, let's see some actual data.  Otherwise, goeatshit.

What privately owned businesses were burned down in 2020? In fact include corporately owned businesses? What was burned down in the hundreds of protest across the nation where tens of thousands participated? 2 or 3 at best? 

But you will exaggerate. See this isn’t even about riots or even BLM. That’s just cover for your racial hatred that you’re too cowardly to just come out and own 

EDIT: proof the democrats will ignore because it doesn't fit there narrative 

https://opentheword.org/2020/09/07/why-do-blm-prot...

https://en-volve.com/2021/04/14/watch-armed-protes...

People came from out of town or out of state to burn those businesses down, I doubt most people would do that in their own neighborhood, although I am sure there was a few.

They shoplift from those areas