Can vs Able (A Slight Difference)

Can you tell me the difference between "Can" and "Able"? 

X: I am not able to decide.

O: I can't decide.

X: We aren't able to stop laughing.

O: We can't stop laughing.

With verbs of perception (e.g. see, hear, smell) and verbs of the mind (e.g. understand, decide, remember) we usually use can, can't, etc: "I can't hear you. Could you speak louder please?" "I think I can smell something burning" "I can see why she doesn't like her boss"

X: In some countries you are not able to drink alcohol until you are 21.

O:  In some countries you can't drink alcohol until you are 21.

For actions that are controlled by laws or rules use can, can't, etc. or be (not) able to.

Here is a video to help you remember: https://www.youtube.com/watch?v=mQnADsIpSqg&t=27s


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