SOLUTION: 10 � 8 � 10 + 2 = 4 where do I insert the parentheses?

Question 384569: 10 � 8 � 10 + 2 = 4
where do I insert the parentheses?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I don't think it's possible to insert parentheses to make this a true expression...here's why:

+/- 10 and +/-2 are both congruent to 2 modulo 4, while -8 is 0 modulo 4. The left side becomes 2 + 0 + 2 + 2 = 6 = 2 modulo 4, regardless of where parentheses are placed. However, 4 is 0 modulo 4 so the two expressions must carry different residues and cannot be equivalent.
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