Why is potassium and water a single replacement reaction?

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ilovephysics0
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the equation from my textbook: 2k+2H2O yields 2KOH+H2 why? I thought that such reactions are when one element swaps with another but in this case, there is an extra H2
 
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ilovephysics0 said:
such reactions are when one element or ion swaps with another

Fixed.
 
Look at water molecule - what is swapped with what?