Answer:

Neither -34 or -54 is correct, the correct answer would be -2

Step-by-step explanation:

To solve the given expression [(31-19)×{5-(5+2-3)} of 3 +(-2)]×-1, let's break it down step by step using the order of operations (PEMDAS):

1. Simplify the expression inside the innermost parentheses: (5+2-3) = 4.

The expression becomes [(31-19)×{5-4} of 3 +(-2)]×-1.

2. Simplify the expression inside the curly braces: (5-4) = 1.

The expression becomes [(31-19)×1 of 3 +(-2)]×-1.

3. Calculate the value inside the square brackets: (31-19) = 12.

The expression becomes [12×1 of 3 +(-2)]×-1.

4. Evaluate the expression "1 of 3" which means dividing 1 by 3: 1 ÷ 3 = 1/3.

The expression becomes [12×(1/3) +(-2)]×-1.

5. Calculate the value inside the square brackets: 12×(1/3) = 4.

The expression becomes [4 +(-2)]×-1.

6. Simplify the expression inside the outermost parentheses: 4 + (-2) = 2.

The expression becomes [2]×-1.

7. Multiply 2 by -1: 2 × -1 = -2.

Therefore, the expression [(31-19)×{5-(5+2-3)} of 3 +(-2)]×-1 equals -2.

The given options of -34 or -54 are not correct based on the step-by-step evaluation of the expression.

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Verified answer

Step-by-step explanation:

Let's solve this expression step by step:

1. First, calculate the expression inside the innermost set of parentheses:

5 + 2 - 3 = 4

2. Next, calculate the expression within the outer set of parentheses:

(31 - 19) × 4 = 12 × 4 = 48

3. Now, you have the expression:

48 of 3 + (-2)

4. Calculate 48 of 3, which means multiplying 48 by 3:

48 × 3 = 144

5. Finally, add -2 to 144:

144 + (-2) = 142

So, the result of the expression is 142, not -34 or -54.