Sure, let's simplify the given expression step by step.
We start with the expression:
[tex]\[ (3 \times 22) \div 6 + \left[ 28 - (4)^2 \right] \][/tex]
First, we calculate the value inside the parentheses [tex]\( (3 \times 22) \)[/tex]:
[tex]\[ 3 \times 22 = 66 \][/tex]
Next, we divide that result by 6:
[tex]\[ 66 \div 6 = 11 \][/tex]
Now, we proceed with the second part of the expression, calculating [tex]\( 28 - (4)^2 \)[/tex]:
[tex]\[ 4^2 = 16 \][/tex]
[tex]\[ 28 - 16 = 12 \][/tex]
Finally, we add the results of the two parts:
[tex]\[ 11 + 12 = 23 \][/tex]
Therefore, the simplified result of the expression is:
[tex]\[ \boxed{23} \][/tex]
So, the correct answer is [tex]\( D. 23 \)[/tex].
