'Deeply' in the Bible

The king was deeply grieved, but because of his oaths and his dinner guests [who might have regarded him as weak], he was unwilling to [break his word and] refuse her.

He groaned and sighed deeply in His spirit and said, “Why does this generation demand a sign? I assure you and most solemnly say to you, no sign will be given to this generation!”

He took Peter and James and John with Him, and He began to be deeply distressed and troubled [extremely anguished at the prospect of what was to come].