The table behind the couch, by moving, we cleared enough space for the new rug.

Which rewrite corrects the dangling modifier?
A. By moving the table behind the couch, we cleared enough space for the new rug.

B. We cleared enough space by moving the table behind the couch for the new rug.

C. By moving behind the couch the table, we cleared enough space for the new rug.

D. We cleared enough space for the table by moving the new rug behind the couch.