To solve the given equation:
[tex]12=\frac{9k}{2}[/tex]Step 1: Multiply all terms by the same value to eliminate fraction denominators
[tex]\begin{gathered} 12=\frac{9k}{2} \\ 2(12)=\frac{9k}{2}.2 \end{gathered}[/tex]Step 2: Cancel multiplied terms that are in the denominator
[tex]2(12)=9k[/tex]Step 3: Multiply the numbers
[tex]24=9k[/tex]Step 4: Divide both side by the coefficient of k
[tex]\begin{gathered} \frac{24}{9}=\frac{9k}{9} \\ \frac{24}{9}=k \\ k=\frac{8}{3} \end{gathered}[/tex]Hence the value of k = 8/3
