Do the same procedures apply for a '93 300E?

The right front wheel was making a loud humming sound when I braked hard.
My mechanic re-packed both front wheel bearings, but the sound was still there. He said I will then need to replace the bearings as the repack did not do the job, although he assured me that the wheels won't fly off!

Now, I want to do it myself, but need to make sure I do it right with this forum's guidance.

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TOOFAST45

'93 300E 2.8 - 138K miles