Suppose b is any integer.
a) If b mod 12 = 5, what is 6b mod 12? In other words, if the division of b by 12 gives a remainder of 5, what is the remainder when 6b is divided by 12?
Your solution should show that you obtain the same answer no matter what integer you start with.
b) Using the definition by mod find an expression for b in terms of 12, 5, and an integer m.
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