Jacket stripped, braid pushed back
Center conductor pulled out through braid.
Opening up the braid.
Insert the stripped Ground wire.
Position Stripped portion at entrance to braid.
Tweezers as a heat sink.
or Long nose pliars with rubber band on the handles
A very little flux.
Quickly solder connection.
After 20 Seconds, remove Heat sink.
Clip connection to about 1/4".
Slip a short piece of Shrink over connection.
Ground lead installation complete.
Adaptor assembly completed.
These may help, but are just another set of pics at different angles.