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To find the combined resistance of the circuit, we first need to determine the equivalent resistance of the parallel arrangement of the two 2-ohm resistors.
1/R_parallel = 1/2 + 1/2
1/R_parallel = 1
R_parallel = 1 ohm
Now we have a series circuit with a 6-ohm resistor and a 1-ohm equivalent resistor:
Total resistance = 6 + 1
Total resistance = 7 ohms
Therefore, the combined resistance of the circuit is 7 ohms, which is option (a).