Thevenin total resistence question

sevenStarCola

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In left circuit, I try use thevenin to change circuit for 6 ome.

At first try I think total resistence is 3ome.
But after try that I notice that's total ome is zero..!

I guess because current soure is cutted(when get total resister), but not think clearly
can you help me..?
 

not quite sure what you are asking.
nor do i follow what you wrote.

6 ohm in parallel with 3 ohm yields 2 ohm

2 ohms in parallel with a 2A source is 4 V

Thevenin form is a 4V source with a 2 ohm series resistor
shorted yields the 2A from Norton version
 

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