The sum of 6 and twice a number is multiplied by three. This product is greater than or equal to 66. What is the smallest value possible for this number?

We will translate the given statement in the problem into (6 + 2x) * 3 > = 66. In this case, to identify the minimum number that can satisfy the inequality given. Then we use the equality part. In this case, x is equal to 8. The answer hence to this problem is 8.