# Do you understand division?

Number Theory Level pending

Find the sum of all the ordered pairs $$(a,b)$$ of positive integers that satisfy

$\begin{cases} b^2 \mid \dfrac{8a^2-14b-56a+2ab}{a-7} \\ a+b \mid \dfrac{b^2}{2}-2a-b \\ \dfrac{16ab+6b+4b^2+24a}{2b+3} \mid b^2 \end{cases}$

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