Indeed you can write the node or loop equations and solve those, but that just changes an electronics problem into an algebra problem. However, by using Thevenin simplification and voltage division one can solve this circuit as an electronics problem instead. First identify the two major nodes in the circuit, A & B. Find the Thevenin equivalent at node A to the left, then substitute that into the circuit and find the Thevenin equivalent at node B to the left. Substitute that into the circuit and use the voltage divider to find Vo. If you can't do the Thevenin equivalent values by simple inspection, then you need to practice that more (and try to not make any arithmetic mistakes).
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