A.T. Robertson Commentary 1 Corinthians 7:32

"But I would have you to be free from cares. He that is unmarried is careful for the things of the Lord, how he may please the Lord:" — 1 Corinthians 7:32 (ASV)

Free from cares (αμεριμνους). Old compound adjective (α privative and μεριμνα, anxiety). In N.T. only here and Mt 28:14 which see.

The things of the Lord (τα του Κυριου). The ideal state (so as to the widow and the virgin in verse 33), but even the unmarried do let the cares of the world choke the word .

How he may please the Lord (πως αρεση τω Κυριω). Deliberative subjunctive with πως retained in an indirect question. Dative case of Κυριω. Same construction in verse 33 with πως αρεση τη γυναικ (his wife) and in 34 πως αρεση τω ανδρ (her husband).