Your question is slightly ambiguous.
If you want to add number of cells containing center to number of all cells containing 0 use =COUNTIF(A2:A100,"*center*")+COUNTIF(B:G,0)
If you want to add all the cells that contain 0 if the respective row contains the word center use =COUNTIFS(A:A,"*center*",B:B,0)+COUNTIFS(A:A,"*center*",C:C,0)+COUNTIFS(A:A,"*center*",D:D,0)+COUNTIFS(A:A,"*center*",E:E,0)+COUNTIFS(A:A,"*center*",F:F,0)+COUNTIFS(A:A,"*center*",G:G,0)
It's a bit longwinded but gets the job done. It can be neater with an array formula but I tend to stay away from these as they have the capacity to cause problems if the spreadsheet is available to multiple users.