The British want to use Zakhaev' son who is staying in Russia to get Zakhaev himself. A plan prepared by Price and his team will allow to catch him easily. Well, that's the plan...
Following Price get to a hostile outpost. Jump on a skip (#175) and be prepared to eliminate the guards on a tower. When you're told to do so, shoot them (#176). After that a battle will begin. Help your teammates to kill all the ultranationalists.
Wait until a convoy with Zakhaev shows up (#177). When you're instructed to do so, kill all the soldiers but do not shoot at the man wearing blue clothes . Then your outpost tower will get rammed.
Zakhaev will start running away (#178), You and Griggs have to catch him by any means. Follow your teammate (#179). And try not to lose visual contact with Zakhaev, because if you do the mission will be failed
You will get to a street that is full of enemies (#180). Go to the building on the right and get outside on the other side of it. Kill the enemies you'll meet there(#181). When Zakhaev starts running again, follow Griggs to the alleyway(#182).
Go straight ahead and kill everyone that stands on your way. After some time you'll get to the white stairs (#183), leading to the five-storey building (#184).
Before you get on a parking, wait until an allied helicopter kills the enemies on the fifth floor. Then get inside (#185) and follow the only possible path. On your way, you will have to kill some terrorists hiding in the rooms (#186). Be careful as you may be easily taken aback in the narrow corridors.
When you get to the ruined part of the building hide behind the wall and wait for the helicopter to kill the enemies shooting at you (#187). Then follow the path and you will get on the roof where Zakhaev is hiding (#188). The captain will give you an order to disarm the terrorist but as soon as you move towards whim he will commit suicide...