sańkarṣaṇas tāḥ kṛṣṇasya
sandeśair hṛdayaḿ-gamaiḥ
sāntvayām āsa bhagavān
nānānunaya-kovidaḥ
sankarshanah -- Lord Balarama, the supreme attractor; tah -- them; krishnasya -- of Lord Krishna; sandesaih -- by the confidential messages; hridayam -- the heart; gamaih -- touching; santvayam asa -- consoled; bhagavan -- the Supreme Lord; nana -- of various kinds; anunaya -- in conciliation; kovidah -- expert.
Srila Jiva Gosvami quotes the following verse from Sri Vishnu Purana (5.24.20), which describes the messages Lord Balarama brought from Krishna for the gopis:
sandesaih sama-madhuraih
prema-garbhair agarvitaih
ramenasvasita gopyah
krishnasyati-manoharaih
"Lord Balarama consoled the gopis by giving them Lord Krishna's most charming messages, which expressed sweet conciliation, which were inspired by His pure love for them, and which were without a tinge of pride." Srila Jiva Gosvami also comments that the use of the name Sankarshana here implies that Balarama attracted Lord Krishna to appear in His mind and in this way showed Sri Krishna to the gopis. Thus Balarama consoled Sri Krishna's beloved girlfriends.
Srila Visvanatha Cakravarti comments that Lord Krishna sent various messages. Some instructed the gopis in transcendental knowledge, others were conciliatory, and still others revealed the Lord's power. Besides its given meaning, the word hridayam-gamaih also indicates that these messages were confidential.