MD80 CREW GOT CONFUSING TAXI INSTRUCTIONS AT THE SE END OF RWY 24R IN LAX.

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TAXI DEV. WE DEPARTED GATE FROM LAX TERMINAL ON THE N SIDE. TAXI CLRNC WAS TAXI TO RWY 24L VIA TXWY D; D7; AND HOLD SHORT OF TXWY V. AFTER TAXIING AND HOLDING SHORT OF TXWY V BTWN RWY 24R&L; GND CTL SAID WE DID NOT COMPLY WITH HIS INSTRUCTIONS. THERE WAS NO CONFLICT WITH ANY ACFT ON THE GND OR IN THE AIR; AND THE CTLR WAS VERY NICE ABOUT THE TAXI DEV. AFTER LOOKING AT THE ARPT DIAGRAM; I STILL BELIEVE WE COMPLIED WITH THE ORAL INSTRUCTIONS. THAT PORTION OF THE ARPT IS CONFUSING; AND A REVIEW OF THE TXWY SIGNAGE; ARPT DIAGRAM; AND TAXI INSTRUCTION TERMINOLOGY IS IN ORDER. I SHOULD NOT THAT OUR FIRST VERBAL INSTRUCTIONS WERE TO TAXI TO RWY 24L VIA TXWY D AND THE CONCRETE PAD. WE CLARIFIED THOSE INSTRUCTIONS WITH THE CLRNC MENTIONED ABOVE; AND THEN STILL DID NOT DO WHAT THE CTLR WANTED. AS A SIDE NOTE; UPON RETURNING TO LAX A FEW HRS LATER ON SHORT FINAL TO RWY 24R; WE COULD SEE AN MD80 IN THE AREA IN QUESTION; AND HEAR THE FRUSTRATED CREW ASK THE CTLR EXACTLY WHAT HE WANTED THEM TO DO. THE CTLR RESPONDED WITH INSTRUCTIONS FOR A 180 DEG TURN. IN SUMMARY; THIS SIT IS NOT GOOD.