Find the current in the 2Ω resistor marked A

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To find the current in the 2Ω resistor marked A, it's essential to apply Ohm's Law (V=IR) along with the Loop and Junction Rules. The circuit consists of three sections, including an 8Ω-2Ω path on the left and an 8Ω-2Ω-3Ω path on the right, with the 8Ω resistor appearing to be shorted. Understanding how these sections interact is crucial for determining the current through resistor A. The left and right sections influence the overall current distribution, which needs to be analyzed to solve the problem effectively. Clarifying these relationships will aid in completing the solution.
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Homework Statement



I attached the image, but it's asking me to find the current in the 2Ω resistor marked A.


Homework Equations



V=IR
Loop Rule
Junction Rule: I(in)=I(out(

The Attempt at a Solution



I have no solution. I just conceptually don't understand how my professor worked this problem and would like any guidance on what he did or some other way to complete this problem.
 

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There are basically 3 sections to the circuit, the 8ohm-2ohm path on the left, the 8 ohm (which appears to be shorted)-2ohm-3ohm path on the right and the all the stuff in the middle.

What effect do the left and right sections have on the current through resistor A ?
 

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