General :: Using Grep To Remove Line And Write Back To Same File?

remove a line starting with specific word with grep. Here is what I found

grep -v '^cc$' data.txt

Here I remove all lines with on 'cc' in that line. But I want the result write back to data.txt

I try several ways

grep -v '^cc$' data.txt > output.txt # works but to another file
echo `grep -v '^cc$' data.txt` > data.txt # didn't work, all carets gone, become one line
grep -v '^cc$' data.txt > data.txt # data.txt is empty after running this

How can I save the result of grep to the input file?