I have been in a big old truck a few years ago and had a flat. The lug nuts were the same way. The trucks kit had a small bar to help brake them loose but they were wayyyy to tight.
What I ended up doing was place the socket on the lug nut and set the braker bar so that it was just bairly off the ground then got back in the truck and slowly drove it forward. In doing so it was braking loose the lug nuts. I did this for ever nut and it worked.
Just a crazy idea that worked for me could help you out some time.
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