Simplifying a circuit with an empty wire (that may or may not be in parallel)
your reasoning is correct that the 39 ohm resistor parallell with the wire can be replaced with just the wire.  but there are no other parts that only 
parallel the wire.  To elimitate a resistor entirely both ends must be connected to the same node.

from here-on in the solution can  be found by making series and parallel combinations.

I re-drew the circuit without the 30 ohm 







simulate this circuit &ndash; Schematic created using CircuitLab

every path from A passes through a resistor...

it looks like the next simplification is to combine the 8 and the 24,  and then combine that with the 4 and then that with the 12... etc.