Do Spanish accents vary among Spanish speaking peoples?

I'm American and I can tell where another English speaking person is from right away be they Canadian, Irish, English, etc. Can someone from say, Peru instantly recognize a Mexican or Puerto Rican accent? I knew a girl from Venezuela who told me that Mexican and Central American folks "murder the... show more I'm American and I can tell where another English speaking person is from right away be they Canadian, Irish, English, etc. Can someone from say, Peru instantly recognize a Mexican or Puerto Rican accent? I knew a girl from Venezuela who told me that Mexican and Central American folks "murder the language" as she put it. Is this true?
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