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Easiest way to complete this is just don't Fail the Collateral Damage Objective - you fail this by killing civilains or destroying buildings (including fences), trees are ignored it seems.

The above is only for the first 2 missions. In the last mission, kill all tanks/IFVs in the West. At the ending of the west objective you are notified about two tanks to the east, destroy those aswell.

Then help the east and kill/destroy all those forces that are attacking.

You do not get the achievement right away, you will need to sit throught the cut scene that the game loads after the end of mission 3.