solution:

We go through each careful drawing and write out equations with the unknown tensions and acceleration.

Block 1:

eqnarray17

Disc 1:

eqnarray21

Block 2:

eqnarray25

Disc 2:

eqnarray29

Block 3:

eqnarray33

We now have 5 equations and 5 unknowns. Now for the fun part!
Plugging numbers into (20), we get:

eqnarray35

Now we equate this to equation (15) and plug in numbers:

eqnarray37

Now we equate this to equation (11) and plug in numbers:

eqnarray39

You get the picture setting this equal to (6):

eqnarray41

Finally we get to setting this equal to (2):

eqnarray43

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Plugging in 'a' in equations (29), (27), (25) and (23) give:

eqnarray48

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eqnarray53

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eqnarray58

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eqnarray63

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