This Is Just Arithmetic!

Logic Level 3

\[\large a - \dfrac{b+c}d + (e+f)(g+h) \]

Let \(a,b,c,d,e,f,g,h=1,2,3,4,5,6,7,8\), but not necessarily in that order, what's the greatest value this can have?

Answer to be accurate to 3 decimal places. No digit used more than once.

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