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Kirchhoff's circuit laws are important for circuit analysis. There are two laws: Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL). KCL states that the sum of currents flowing into a node is zero, and KVL states that the directed sum of voltages around a closed loop is zero. Consider also using the "circuit-analysis" with this tag.

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Kirchhoffs Law with 3 Voltage Sources

You should try something different, using meshes. I'll do the one on the left. $$ +20-3I_l-30-3I_l=0 \implies I_l = -\frac{5}{3}\ A $$ On a side note, this problem could be easily solved with superp …
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