Let $\quad f: R \rightarrow R$ be defined $\quad f(x)=a e^{2 x}+b e^x+c x . \quad$ If $\quad f(0)=-1, f^{\prime}\left(\log _e 2\right)=21 \quad$ and $\int_0^{\log _e 4}(f(x)-c x) d x=\frac{39}{2}$, then the value of $|a+b+c|$ equals :
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