The answer to your question is: Yes. Someone can.
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Even though you haven't asked for the solution,
I'm here already so I might as well go through it:
-(4 and 2/3) = 2n/3 + 1/3 + n/3
Combine the 'n' terms on the right side:
-(4 and 2/3) = n + 1/3
Change (4 and 2/3) to an improper fraction:
-(14/3) = n + 1/3
Multiply each side by 3 :
-14 = 3n + 1
Subtract 1 from each side:
-15 = 3n
Divide each side by 3 :
-5 = n