Verified answer

Answer:

Let's simplify the expression step by step:

47 - [(2 + 3) - 3{4 - 3(7 - 4 - 3)}]

Step 1: Simplify the innermost parentheses first.

47 - [(2 + 3) - 3{4 - 3(7 - 4 - 3)}]

47 - [5 - 3{4 - 3(0)}]

Step 2: Continue simplifying the expression inside the curly braces.

47 - [5 - 3{4 - 3(0)}]

47 - [5 - 3{4 - 0}]

47 - [5 - 3 * 4]

Step 3: Evaluate the multiplication first.

47 - [5 - 3 * 4]

47 - [5 - 12]

Step 4: Evaluate the subtraction inside the square brackets.

47 - [5 - 12]

47 - (-7)

Step 5: Evaluate the subtraction outside the square brackets.

47 - (-7)

Step 6: Evaluate the subtraction of a negative number.

47 + 7

Step 7: Finally, perform the addition.

47 + 7 = 54

So, the simplified value of the expression is 54.

To simplify the expression 47 - [(2 + 3) - 3 {4 - 3(7 - 4 - 3)}], let's break it down step by step:

First, let's simplify the innermost parentheses:

7 - 4 - 3 = 3

Next, simplify the expression within the curly braces:

4 - 3(3) = 4 - 9 = -5

Now, substitute the simplified expression back into the original expression:

47 - [(2 + 3) - 3(-5)]

Continuing, evaluate the addition within the parentheses:

2 + 3 = 5

Substitute the simplified expression:

47 - [5 - 3(-5)]

Next, evaluate the multiplication within the brackets:

3(-5) = -15

Substitute the simplified expression:

47 - [5 - (-15)]

Now, simplify the subtraction within the brackets:

5 - (-15) = 5 + 15 = 20

Substitute the simplified expression:

47 - 20

Finally, evaluate the subtraction:

47 - 20 = 27

Therefore, the simplification of the given expression 47 - [(2 + 3) - 3 {4 - 3(7 - 4 - 3)}] is equal to 27.