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The 2 outside the parentheses can be multiplied by the three inside which tells you that you have 6 Nitrogens right there. That being said, you now just need to make sure that the other side has the same amount, which you can do by balancing the rest!
The way I see it is as a normal math problem. In math when you have a number multiplying by the stuff in parenthesis you are supposed to distribute. Similarly when you have something like Mg(N3)2, you could see it in this way and distribute the 2, in other words you would multiply the number inside the parenthesis by 2. This would give you N6.
This means that there are 6N and and only 1 Mn. You would have to take into consideration both elements when balancing the equations. You would generally balance the one that is by itself on the other side last or balance the one first that is easiest to balance corresponding to the other side.
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