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12=9k/2 solve for K

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To solve the given equation:


12=(9k)/(2)

Step 1: Multiply all terms by the same value to eliminate fraction denominators


\begin{gathered} 12=(9k)/(2) \\ 2(12)=(9k)/(2).2 \end{gathered}

Step 2: Cancel multiplied terms that are in the denominator


2(12)=9k

Step 3: Multiply the numbers


24=9k

Step 4: Divide both side by the coefficient of k


\begin{gathered} (24)/(9)=(9k)/(9) \\ (24)/(9)=k \\ k=(8)/(3) \end{gathered}

Hence the value of k = 8/3

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