Distinguishing series & parallel circuit

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yoohyojinn
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This is a general question.

I'm having a hard time distinguishing complicated series and parrallel circuits.

For example, in the picture, how do you simplify the circuit?
 

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There are various "transforms" that can be used to simplift circuits however in this particular case...

Check the right hand side of the circuit for symetry. What does that tell you about the the 12k ?