To analyze the situation, we note that Spencer prepaid for a 12-month membership, which means he is paying for 12 months at a regular cost of \( m \) per month. Since he received a one-time discount of $35, the total cost he paid can be represented with the equation:
\[ 12m - 35 = 205 \]
This equation indicates that after applying the discount of $35 to the total cost of the 12-month membership (12 times the monthly rate \( m \)), the result equals the total amount Spencer actually paid, which is $205.
Therefore, the correct equation Spencer can use to find \( m \) is:
A: 12m - 35 = 205
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