Here are my top solutions for you:
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Take the book to outer space where there’s no gravity. Then the book will weight nothing.
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Get rid of the book. Once you don’t have the book it won’t matter how much it weighs.
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Find a bridge with a weight limit. Keep adding copies of the book until the bridge collapses. Divide the weight limit by the number of books and you have a rough weight.
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Order a copy of the book. When it arrives check the box it was posted in for the postage weight.
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Go to the doctors to get weighed. Eat the book then go back. The difference is the weight of the book.
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Borrow a scales from your friends. If you are like me this is impossible, you are better off going with option 1.