Verified Answer :

\(0.05p-0.02(5-2p)=0.05(p-2)-0.12\) 

\(0.05p-0.02(5-2p)=0.05(p-2)-0.12:p\) 

\(0.05p-0.1+0.04p=0.05p-0.1-0.12\)  \(|Expand \ the \ equation|\) 

\(0.09p-0.1=0.05p-0.1-0.12\) 

\(0.09p-0.1=0.05p-0.22\) 

\(0.09p-0.1-0.05p=-0.22\)  \(|Subtract \ 0.05p \ from \ both \ sides|\) 

\(0.04p-0.1=-0.22\) 

\(0.04p=-0.22+0.1\)  \(|Add \ 0.1 \ to \ both \ sides|\) 

\(0.04p=-0.12\) 

\(0.04p/0.04=-0.12/0.04\)  \(|Divide \ both \ sides \ by \ 0.04|\) 

\(p=-3\) 

\(\star \ Hence \ Solved\)