Andrew Murray emphasizes that the primary purpose of prayer is to glorify the Father through the Son, as stated in John 14:13. He explains that true prayer must align with this divine aim, and that believers should seek God's glory above their own desires. Murray encourages a life surrendered to God, where the glory of the Father becomes the central focus of both living and praying. He highlights that only through the indwelling of Christ can believers achieve this selfless devotion, leading to effective prayer that honors God. Ultimately, he calls for a heartfelt confession of self-seeking motives in prayer and a renewed commitment to live for God's glory.