Pulley system problem

1. The problem statement, all variables and given/known data
No friction, pulleys and also string are weightless, the tension through the string is distributed uniformly. Find the acceleration of the mass 3M (see image attached)

2. Relevant equations

II law of Newton

3. The attempt at a solution
Well I wrote such equations for all pulleys (counting pulleys from right to left):
1) M*a1 = T – Mg;
2) M*a2 = 2T – Mg;
4) M*a3 = 2T – Mg;
5) 3M*a = T – 3Mg.

Now we have 1 more unknowns than equations. Any ideas?

Attached Images
File Type: png Screenshot from 2014-03-03 23:33:44.png (19.7 KB)


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