7. a. Verify the following congruences: 105 ≡ 5 (mod 20) 189 ≡ 9 (mod 15) b. Verify that ( 105 + 30 ) ≡ ( 5 + 10 ) (mod 20) c. Try to show that in general, if M≡a (mod L) and N≡b (mod L) then M+N≡a+b (mod L)
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