Remove preceeding apostrophe without removing preceeding 0s

they should match provided the leading 0 are in the cell as text and not as the result of formatting
Attach a sample workbook. Make sure there is just enough data to make it clear what is needed. Include a BEFORE sheet and an AFTER sheet in the workbook if needed to show the process you're trying to complete or automate. Make sure your desired results are demonstrated, mock them up manually if needed. Remember to desensitize the data.

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ah i dont know how you got that ' in there but
=INDEX('Match With This'!$B$3:$B$15,MATCH(SUBSTITUTE(A3,"'",""),'Match With This'!$A$3:$A$15,0))
works

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