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If n gives a remainder of 3 when divided by 7, then what remainder does 2n+1 give when divided by 7?

 Mar 3, 2021
 #1
avatar+564 
+1

n=3(mod 7)

2n=6(mod7)

2n+1=0(mod 7)

so the answer is $\boxed0$

 Mar 3, 2021
 #2
avatar+306 
+2

Thanks!

calvinbun  Mar 3, 2021

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