1) B -> D
2) B v D
/ D
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3) D v B 2 Commutation
4) ~~D v B 3 Double Negation
5) ~D -> B 4 Material Implication
6) ~D -> D 5,1 Hypothetical Syllogism
7) ~~D v D 6 Material Implication
8) D v D 7 Double Negation
9) D 8 Tautology
Hopefully that helps. If not, then let me know. Also, please point out the two rules that confuse you so I can go over them.
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