On any case where he would have had a deciding vote, the result will now be 4-4.  That means that the lower court decision stands, that there is no national precedent (appeals court decisions are only binding precedent within their circuit), and that the Supreme Court is very likely to take up the case again when there&#x27;s a 9th judge.  Essentially as if they had never taken the case. I doubt the current members of the Supreme Court would agree to waste their time hearing a case where they know it&#x27;ll end up 4-4.