We want to find the number of months when the total cost at Gym A and Gym B is the same. Let's set up an equation:
$75 + 35.75m = 164 + 17.95m$
Now, we need to solve for m (the number of months):
$17.8m = 89$
$m = \frac{89}{17.8}$
$m = 5$
So, after 5 months,
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