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The units for torque, as you stated, are Newton-meters. Although this is algebraically the same units as Joules, Joules are generally not appropriate units for torque.
In general, a torque does not produce linear displacement of the thing that is being torqued, but nets to zero displacement over some length or some time.   Technically, torque is the turning effect of a couple while moment of a force is the turning effect due to a single force but they are often interchanged.