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The picture on my monitor has got the shakes, can this be overcome and if so how please

Is it an old CRT type, or LCD ?

If its a CRT type - this normally means its probably about to pack-up completely.

If its got a degauss button press this to rid a build up of static - it may clunk.
If its a tft hold down the auto button.

If it doesn't go away its a naff tube CRT or transparency layer TFT