What do you mean by ” **half the inputs are variables”?**
All inputs are variable that is what defines an input.
You have two inputs J and K. The next state depends on both of them and the current state Q.
The truth table is:
J K Q
0 0 Q no change
0 1 0 reset
1 0 1 set
1 1 Q_inv flip
So the next state is clearly defined by J K and Q
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