Verified Answer :

\(8.2p-33.4=1.7-3.5p\) 

\(8.2p=1.7-3.5p+33.4\)         \(Add \ 33.4 \ to \ both \ sides\)

\(8.2p=-3.5p+35.1\) 

\(8.2p+3.5p=35.1\)                   \(Add \ 3.5p \ to \ both \ sides\)

\(11.7p=35.1\) 

\(\dfrac{11.7p}{11.7} = \dfrac{35.1}{11.7p}\)             \(Divide \ both \ sides \ by \ 11.7\)

\(p=3\)       \(Solution\)

p=3
First you add 33.4 to both sides. Then add 3.5p to both sides. Then divide 35.1 by 11.7 and you get 3.