9 (k - 2) = 3 (k + 4)

Let's solve this problem step-by-step.

9 (k-2) = 3 (k+4)

Step 1: Simplify both sides of the equation.

9 (k-2) = 3 (k+4)

(9) (k) + (9) (-2) = (3) (k) + (3) (4) (Distribute)

9k+-18=3k+12

9k-18=3k+12

Step 2: Subtract 3k from both sides.

9k-18-3k=3k+12-3k

6k-18=12

Step 3: Add 18 to both sides.

6k-18+18=12+18

6k=30

Step 4: Divide both sides by 6.

6k/6=30/6

So, the answer for this problem is k=5.

Answer: k=5