Sure, let's evaluate the expression step by step:
[tex]\[ 9 + (21 - 6) \div 3 \][/tex]
### Step 1: Evaluate the Expression Inside the Parentheses
First, begin by solving the expression inside the parentheses:
[tex]\[ 21 - 6 \][/tex]
Subtract 6 from 21:
[tex]\[ 21 - 6 = 15 \][/tex]
Now, the expression is:
[tex]\[ 9 + 15 \div 3 \][/tex]
### Step 2: Perform the Division
Next, we need to divide 15 by 3:
[tex]\[ 15 \div 3 \][/tex]
Dividing 15 by 3 gives:
[tex]\[ 15 \div 3 = 5 \][/tex]
Now, the expression is:
[tex]\[ 9 + 5 \][/tex]
### Step 3: Perform the Addition
Finally, add 9 and 5:
[tex]\[ 9 + 5 \][/tex]
Adding these together results in:
[tex]\[ 9 + 5 = 14 \][/tex]
Thus, the value of the expression [tex]\(9 + (21 - 6) \div 3\)[/tex] is:
[tex]\[ \boxed{14} \][/tex]
