When facing a dealer's 6 in blackjack, you are in a favorable position because the dealer is more likely to bust. For hard hands, you should hit if your total is 16 or less, but stand on 12-15 since the dealer has a weak card. With a total of 17 or higher, you should stand. If you have a soft hand, it’s usually best to hit with totals like A-2 to A-4, but you can double down on A-5 to A-7 to take advantage of the dealer's weak 6. If you have pairs, it's generally a good idea to split low pairs like 2s, 3s, 6s, and 7s, while you should double down on a pair of 5s. For pairs of 10s, you should stand, as you already have a strong hand. The key is to take advantage of the dealer's vulnerability and adjust your play to minimize risk while maximizing your chances to win.