So yeah, just to put it all together, try this. From your two Ks, it either returns K+1 if it can or an empty string.
def k2k1(string1, string2):
for c in string1:
string2 = string2.replace(c,"",1)
if len(string2) == 1:
string1 += string2
else:
string1 = ""
return string1
Testing:
print k2k1("abcdadd", "abceadd")
gives:
abcdadde
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