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5p-10+3\left(p+1\right)=25
Use the distributive property to multiply 5 by p-2.
5p-10+3p+3=25
Use the distributive property to multiply 3 by p+1.
8p-10+3=25
Combine 5p and 3p to get 8p.
8p-7=25
Add -10 and 3 to get -7.
8p=25+7
Add 7 to both sides.
8p=32
Add 25 and 7 to get 32.
p=\frac{32}{8}
Divide both sides by 8.
p=4
Divide 32 by 8 to get 4.