Playstyle & Rotation
As a Brewmaster you don't have a rotation per se, you have a priorities list instead.
Without Blackout Combo it looks like this:
With Blackout Combo, you want to use the proc into Tiger Palm, so you always want to weave Tiger Palm in right after Blackout Strike. You can use Rushing Jade Wind in between the two but nothing else.
Then follow the priority list above.
All you need to do to be an effective Brewmaster is making sure you don’t die, you do this by making sure you always maintain Ironskin Brew and using Purifying Brew efficiently, the rest depends upon your healers.
To deal as much damage as possible you just need to maintain the relatively simple rotation. The rotation is fluid and straight forward, meaning that it doesn't require much attention during an encounter. This means you can have an excellent raid awareness and focus on your survivability.