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-31=8-6p-7p
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$$ -31=8-6p-7p\\ -31-8=8-6p-7p-8\\ -31-8=6p-7p\\ -31-8=p(6-7)\\ -31-8=p(-1)\\ {-31-8\over -1}={p(-1)\over -1}\\ 31+8=p\\ p=31+8 $$ That's it!
thank you!
yw
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