Is There a Quicker Method to Solve Circuit Problem 9.2.3b Using Superposition?

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The discussion revolves around solving problem 9.2.3b from Boylestad's "Introductory Circuit Analysis" using superposition. The original poster successfully found the correct answer but believes there may be a more efficient method. They specifically seek suggestions for a quicker approach to determine the current through resistor R1. The emphasis is on improving problem-solving techniques without developing bad habits. The conversation highlights the importance of seeking alternative solutions in circuit analysis.
The_Lobster
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Hi!

I was having a hard time doing problem 9.2.3b in Boylestad's book "Introductory Circuit Analysis", and was about to ask here when I finally got the right answer! But I have a feeling I did this the hard way, and that there's a quicker and more elegant solution. If you have suggestions to how this could be done (using superposition) a lot faster, please tell me. I've attached my solution...

(this is *not* homework. I'm just really unsure about the way I solved this and don't want to get any bad habits)

Oh, better add that the goal is to find the current through R1.
 

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