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on my office and home networks i have a software firewall for each pc and all of them are behind a router.
why is one of your pcs using a dedicated cable modem? no idea whats up but as long as u have a firewall up (software) the hardware one is just an extra layer of protection. you should do fine having just one. but both is better if you do have sensitive data on that pc
edit : the router has a built in firewall (forgot to mention)
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