Solving the Equation: 1/4(1/3k+9) = 6
To solve for k, we need to isolate the variable k on one side of the equation. Let's start by multiplying both sides of the equation by 4 to eliminate the fraction:
4(1/4)(1/3k + 9) = 4(6)
This simplifies to:
1/3k + 9 = 24
Next, we can subtract 9 from both sides of the equation to isolate the term with k:
1/3k = 15
Now, we can multiply both sides of the equation by 3 to solve for k:
k = 45
Therefore, the value of k is 45.
Final Answer: k = 45