The word demagogueries 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
Seven Letter Word Alert: (68 words)
admires, aroused, daggers, dearies, degerms, degrees, demagog, demerge, desugar, diggers, digrams, dogears, doggies, druggie, emerged, emerges, emersed, gaudier, gaudies, geogrid, gougers, gourdes, greased, groused, grudges, guidage, imagers, imagoes, isogram, isomere, measure, medusae, megaerg, mirages, misdoer, misread, morgues, mousier, muggers, muggier, muroids, radiums, radomes, readies, readmes, redeems, regauge, regimes, reguide, reimage, remiges, residue, resumed, roadies, ruesome, saggier, seagoer, seamier, sedgier, seedier, seriema, sidearm, smeared, smudger, smugged, smugger, soggier, sugared