How to clean leak marks off ceiling

We had a tree hit our roof last month and it punched some holes through. So the roof leaked and now there are brown marks across the LR ceiling and some on the second floor. It's a popcorn blown ceiling. Allstate home owners insurance does not cover this kind of damage!! Don't get me started! Once the roofers finish, we need to find a way to cover up the stains. The roofing job is paid "out of pocket" and we are in our late 60's so cheap and easy is the way we gotta go. Suggestions please!
q how to clean leak marks off ceiling
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