Verified Answer :

\(\frac{2}{3} + \frac{3k}{4} = \frac{71}{12}\)

LCD ( 3 * 4 ) = 12

Multiply by LCD = 12

\(\frac{2}{3} *12+ \frac{3k}{4} *12= \frac{71}{12} *12\)

Refine :

\(9 k + 8 =7\)

Subtract 8 from both sides:

\(9k+8-8 = 71-8\)

\(9k = 63\)

Divide both sides by 9

\(k= \frac{63}{9}\)

\(k=7\)

hope this helps!