• anugraha-artham — for the sake of mercy
  Compound: anugraha (favor, grace) + artham (for the sake of). Bhagavān's stated motive is anugraha — not cosmic management, not karmic balance, but personal favor. Gauḍīyas read this as the definition of grace: Bhagavān moves for the devotee's sake.
• prārthitaḥ — prayed to
  Past participle of pra-√arth — to ask, pray. Mucukunda's prayers are explicitly acknowledged. The Vaiṣṇava confidence: every sincere prayer is heard, recorded, and answered at the right moment.
• pracuram — abundantly
  Adverb — copiously. Mucukunda prayed not once but extensively. Gauḍīyas teach that the persistence of prayer is itself part of the prayer; the Lord responds to those who do not stop.
• bhakta-vatsalaḥ — affectionate to devotees
  Compound: bhakta + vatsalaḥ (calf-loving, tender). The Bhāgavata's signature epithet for Bhagavān. Vatsala-vocabulary recalls Yaśodā's tenderness for child-Kṛṣṇa — here turned inside out: Kṛṣṇa is vatsala toward His bhaktas.
• guhām — the cave
  The cave is now reclassified — not a place of sleep but a place of anugraha. Same physical location, transformed by the visitor. Gauḍīyas read this as bhakti's geography: any place Bhagavān enters becomes Vaikuṇṭha for the devotee there.

• What old prayer of yours might be quietly approaching its visit?
• How do you keep praying when answers are taking generations?

A king visiting a long-time petitioner whose past prayers have been on file. Kṛṣṇa names His motive: bhakta-vatsalatā — affection for His devotees. The visit is not strategic; it is the heart's debt being paid.