I was directed to the power of God manifested through Moses when the Lord sent him in before Pharaoh. Satan understood his business and was upon the ground. He well knew that Moses was chosen of God to break the yoke of bondage upon the children of Israel, and that in his work he prefigured Christ's first advent to break Satan's power over the human family and deliver those who were made captives by his power. Satan knew that when Christ should appear, mighty works and miracles would be wrought by Him, that the world might know that the Father had sent Him. He trembled for his power. He consulted with his angels how to accomplish a work which should answer a twofold purpose: 1. To destroy the influence of the work wrought by God through His servant Moses, by working through his agents, and thus counterfeiting the true work of God; 2. To exert an influence by his work through the magicians which would reach down through all ages and destroy in the minds of many true faith in the mighty …
"And Moses and Aaron went in unto Pharaoh, and they did so as the Lord had commanded: and Aaron cast down his rod before Pharaoh, and before his servants, and it became a serpent."
The EGW passage directly references Moses before Pharaoh and the serpent transformation, which is the core event in Exodus 7:10. The EGW passage expands on the spiritual battle behind the event.
"Forasmuch then as the children are partakers of flesh and blood, he also himself likewise took part of the same; that through death he might destroy him that had the power of death, that is, the devil;"
Both passages deal with the idea of breaking the power of the devil. The EGW passage speaks of Moses prefiguring Christ's breaking of Satan's power, while Hebrews 2:14 directly states Christ's purpose was to destroy the devil. The connection is thematic, focusing on the defeat of Satan's power.
"But I have greater witness than that of John: for the works which the Father hath given me to finish, the same works that I do, bear witness of me, that the Father hath sent me."
The EGW passage speaks of miracles being wrought by Christ to show the Father sent Him. John 5:36 states that the works Christ does bear witness that the Father sent Him. The connection is thematic, focusing on the role of miracles as evidence of divine origin.