Sure, let's break down the expression step by step to find the value:
First, consider the expression:
[tex]\[ 63 - 21 + (3 \cdot 11) \][/tex]
### Step 1: Handle the Parentheses
The first operation to perform is inside the parentheses:
[tex]\[ 3 \cdot 11 \][/tex]
Multiplying 3 by 11 gives:
[tex]\[ 3 \cdot 11 = 33 \][/tex]
### Step 2: Substitute the Result
Next, substitute the result of the multiplication back into the original expression:
[tex]\[ 63 - 21 + 33 \][/tex]
### Step 3: Perform Addition and Subtraction from Left to Right
Begin with the subtraction:
[tex]\[ 63 - 21 = 42 \][/tex]
Then, add the result to 33:
[tex]\[ 42 + 33 \][/tex]
Adding 42 and 33 gives:
[tex]\[ 42 + 33 = 75 \][/tex]
### Final Answer
Thus, the value of the expression [tex]\( 63 - 21 + (3 \cdot 11) \)[/tex] is:
[tex]\[ 75 \][/tex]
