The word coeducating is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters coeducating
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Seven Letter Word Alert: (32 words)
accinge, accited, account, aconite, auction, catogen, caution, coacted, coating, cocaine, cognate, coinage, conceit, conduce, conduct, conduit, counted, decagon, ducting, educing, eudicot, gaunted, godetia, noticed, oceanic, octadic, outgain, tacnode, tangoed, tongued, uncaged, uncited