Question: Why are these two sums equal? Why are the two added on the right, why is there a floor function as the upper bound of

Why are these two sums equal? Why are the two added on the right, why is there a floor function as the upper bound of the right sum, and why does this allow for us to get rid of the absolute value?

(;)mn2 2 (%)(m 21) = i  

(;)mn2 2 (%)(m 21) = i

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