5. \( \begin{aligned} j-9 \pi= & 12 \pi \\ +9 \pi & +9 \pi\end{aligned} \)

Let's solve for \( j \) in the equation step by step. We start with the given equation: \[ j - 9 \pi = 12 \pi \] To isolate \( j \), we add \( 9 \pi \) to both sides of the equation: \[ j - 9 \pi + 9 \pi = 12 \pi + 9 \pi \] This simplifies to: \[ j = 21 \pi \] So, the solution to the equation is \( j = 21 \pi \). Now that we have \( j \), remember that π (pi) is approximately 3.14, so if you're curious, you can estimate \( j \) as: \[ j \approx 21 \times 3.14 = 65.94 \] This little numerical exploration can give you a sense of the scale of your solution!