Powershell: Remove Blank line that follows a line which contains a specific string

I'd like to search a large text file in Windows and remove the blank line after a line that contains a specific string.

Here's a snippet of the file content which contains the string:

  COMPILE SPECIFICATION
    PLSQL_OPTIMIZE_LEVEL=  2
    PLSQL_CODE_TYPE=  INTERPRETED
    PLSQL_DEBUG=  FALSE    PLSCOPE_SETTINGS=  'IDENTIFIERS:NONE'   <-- this is the string
  <-- this is the blank line.
/

I want the string to be without the blank line before the "/" like below:

  COMPILE SPECIFICATION
    PLSQL_OPTIMIZE_LEVEL=  2
    PLSQL_CODE_TYPE=  INTERPRETED
    PLSQL_DEBUG=  FALSE    PLSCOPE_SETTINGS=  'IDENTIFIERS:NONE'
/

I opened the file in Notepad++ and can see the CRLF at the end of the lines.  Can't figure out how to get Notepad++ to do this for me.

It seems Powershell should be able to do it.  
But I can only find examples (that I can understand) which remove all carriage returns rather than the carriage return after a specific string.
Or it removes all blank lines, but I don't want to do this for ALL blank lines.  I only want to remove the blank line after that particular string.

Much appreciation for your help.