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Hey everyone I just started playing warhammer 40k and I have a few questions about the assault phase. Like can you assault if you have moved in the movement phase? And is the assualt range 6in or is it 2d6? I also have some questions about falling back if anyone would like to help I would appreciate it.

The rulebook is pretty clear on these.
Yes you can move and assault.
Assault range is 2d6" (default).

So what happens if you move then roll for an assault but dont reach your target. Do you get to move that much closer

Charge fails, you don't move at all.

Please note that the forum is not a replacement for having the rulebook.

It sounds like you just need to read the assault rules in the book.