1. Compute . Simplify your answer to a number in the range .
2. Solve the modular equation .
Multiplying by 9, I get
3. Solve the modular equation . Simplify your answer to a number in the range . Show your work!
Divide out the common factor of 6, and divide the modulus by :
To get solutions mod 106, add multiples of 53: Thus, .
The solutions are .
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