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Nick wants to join a gym, and he is deciding between two options. Infinity Fitness charges $\$45$ per month, plus a one-time registration fee of $\$20$. The Power Zone charges $\$37.50$ per month, plus a one-time registration fee of $\$65$. Which equation can you use to find $m$, the number of months it would take for the total cost at either gym to be the same?$\newline$Choices:$\newline$(A) $20 + 45m = 65 + 37.5m$$\newline$(B) $20m + 45 = 60m + 37.5$$\newline$After how many months would the total cost at either gym be the same?$\newline$$\_\_\_\_$ months$\newline$