A number p equals 3/2 the average of 10, 12, and q. What is q in terms of p?

Question: A number p equals 3/2 the average of 10, 12, and q. What is q in terms of p?

Solution:
Average = (10 + 12 + q)/3
= (22 + q)/3

Now, p is 3/2 the average
So, p = (3/2) × {(22 + q)/3}
⇒ p = (22 + q)/2
⇒ 22 + q = 2p
∴ q = 2p - 22