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The common denominator of the two fractions is: 10

$ \frac{(5*(2*m-7)+8*m)}{5 }= \frac{(2*(5*(2*m-7)+8*m))}{(2*5)} = \frac{(2*(5*(2*m-7)+8*m))}{10} $

$ \frac{17}{2 }= \frac{(5*17)}{(2*5)} =\frac{ 85}{10} $

Fractions adjusted to a common denominator

$ \frac{(5*(2*m-7)+8*m)}{5 }+\frac{ 17}{2 }= \frac{(2*(5*(2*m-7)+8*m))}{10 }+\frac{ 85}{10} $

$ \frac{(2*(5*(2*m-7)+8*m))}{10 }+\frac{ 85}{10 }= \frac{(2*(5*(2*m-7)+8*m)+85)}{10} $

$ \frac{(2*(5*(2*m-7)+8*m)+85)}{10 }= \frac{(2*(5*(2*m-7)+8*m)+85)}{10} $

$ $

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