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3p-7-p<9
Subtract p from both sides.
2p-7<9
Combine 3p and -p to get 2p.
2p<9+7
Add 7 to both sides.
2p<16
Add 9 and 7 to get 16.
p<\frac{16}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
p<8
Divide 16 by 2 to get 8.