In the arrangement shown above, the block of mass \(m=2 \text{ kg}\) lies on the wedge of mass \(M=8\text{ kg}\). Find the initial acceleration of the wedge if the surfaces are smooth, pulley and strings are massless.

If the magnitude of acceleration is in the form \(\dfrac{a\sqrt{b}}{c}\), where \(a,b\) and \(c\) are positive integers, with \(a,c\) coprime and \(b\) square-free, submit your answer as \(a+b+c\).

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