"She does not play with her man."
Translation:Sie spielt nicht mit ihrem Mann.
'ihrem' is a form of the possessive pronoun 'ihr' meaning 'her' (like - mein=my, dein=your, sein=his/its). The ending of the possessive pronoun changes depending the case, number and gender of the noun coming after it i.e. the thing being 'possessed' - 'man' is singular and masculine, 'mit' takes the dative so the ending is 'em' - making 'ihrem'. So - which pronoun we use depends on the subject (owner), and the ending of the pronoun depends on the thing being owned. There is a list of pronouns and endings to use on this page: http://german.speak7.com/german_pronouns.htm Hope this helps!
Another link where you can find 'ihrem' explained is http://en.wikipedia.org/wiki/German_declension#Definite_articles Kind regards.