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Verified Answer :

\(3.95m + 8.95b = 47.65\)  \(Equation\) 
 
                      \(\fbox{Solution for variable m}\)

\(3.95m=47.65-8.95b\)  \(\text{Subtract 8.95b from both sides}\) 

\(m= \dfrac{47.65-8.95b}{3.95}\)  \(\text{Divide both sides by 3.95}\) 

                      \(\fbox{Solution for variable b}\)        
 
 \(3.95m + 8.95b = 47.65\)  \(Equation\)    

\(8.95b=47.65-3.95m\)     \(\text{Subtract 3.95m from both sides}\)

\(b= \dfrac{47.65-3.95m}{8.95}\) \(\text{Divide both sides by 8.95}\) 
         
                                  \(\text{Hence Solved}\)