"Spoooooooky" Russian rational expressions 5

Algebra Level pending

$\mathscr{E} = \left( \dfrac{2m+1}{2m-1} - \dfrac{2m-1}{2m+1}\right) \div \dfrac{4m}{10m-5}$

Let $$m = 2016$$. If the value of $$\mathscr{E}$$ can be represented in the form $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$.

Credit: My former Trig teacher's worksheet of Russian rational expressions
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