In general, when you are out of position, you want your opponents to fold. You certainly do not want to get action with a junky hand like A-6 offsuit.
If the button will play in a straightforward manner when facing a bet, Hero should bet. In general, hands with marginal amounts of showdown value should be checked.
When the turn fails to improve your marginal made hand, you should usually check because if you bet and get called, you will usually be way behind.
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