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I see that at node A, the voltage is 10V since it is connected to the independent voltage source. But node A is also connected to the dependent voltage source 10Io.

If I do KVL on the left loop, Io comes out to be 0.2A. Plugging this into the dependent source, the dependent source is at 2V. How is this possible?

The dependent source says Node A is at 10V. But the dependent source says Node A is at 2V. Since both sourcers are connected at the same point, they should be at the same voltages, right?

Which voltage is correct? How am I analyzing this incorrectly?