RWY INCURSION OCCURS WHEN A STUDENT CAPT TAXIES ONTO RWY 4L AFTER BEING TOLD TO HOLD SHORT ON TXWY D AT EWR; NJ.

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I WAS CAPT OF THIS FLT AND WAS DOING IOE ON A NEW CAPT WHO WAS A FORMER FO ON THE EMB ALSO FROM THE NE. TAXIING OUT TO RWY 4L FOR DEP. INSTRUCTED TAXI RB; TXWY D; SHORT OF RWY 4L. TAXIING OUT ON RB APCHING PA; I LOOKED DOWN TO THE COM #1 TO CHANGE FREQ. WHEN I LOOKED UP; I INFORMED THE IOE STUDENT THAT HE MADE A WRONG TURN AND TURNED EARLY BEFORE TXWY D. WE CORRECTED THIS AND I INSTRUCTED THE CAPT TO TURN R ON TXWY D AND HOLD SHORT OF RWY 4L. THE FLT ATTENDANT CALLED AND I REACHED UP TO SELECT THE CALL BUTTON TO ANSWER THE FLT ATTENDANT. THE IOE CAPT MISSED THE TURN AND CONTINUED AND TURNED ONTO RWY 4L. TWR ASKED IF WE WERE ON RWY 4L AND I HAD TO UNFORTUNATELY SAY -- YES. WE WERE INSTRUCTED TAKE NEXT R THEN L AND HOLD SHORT OF RWY 4L. THEN WE WERE GIVEN TKOF CLRNC. SUPPLEMENTAL INFO FROM ACN 600900: I MISSED THE TURN ONTO TXWY D AND MADE A R TURN ONTO FE ON THE RAMP E OF CARGO OPS. I DID NOT HEAR MY IOE CAPT SAY TURN R; THEN R. I MADE THE L TURN AT PB; THEN MADE THE R TURN ONTO THE RWY. THE GND CTLR ASKED; 'HEY XXX; YOU ON THE RWY?' WE SAID; 'AH; YEAH.' HE SAID TO MAKE THE NEXT L; THEN THE NEXT L TO RWY 4L. AS WE WERE CLRED ONTO RWY 4L; THE TWR CTLR SAID; 'GND SAID NOT TO WORRY ABOUT IT;' WHATEVER THAT MEANS.