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What is the value of (−23) –[(−25) – {(−17) –(−19)}]?

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Final answer:

To evaluate the given expression, use the order of operations to simplify the expression step by step.

Step-by-step explanation:

To evaluate the expression (−23) –[(−25) – {(−17) –(−19)}], we need to follow the order of operations, which is parentheses, then multiplication/division from left to right, and finally addition/subtraction from left to right.

  1. Simplify the expression inside the innermost parentheses: (−17) – (−19) = -17 + 19 = 2
  2. Substitute the result back into the expression: (−25) – 2 = -25 - 2 = -27
  3. Simplify the expression inside the outer parentheses: [−27] = -27
  4. Substitute the result back into the expression: (−23) – (-27) = -23 + 27 = 4

Therefore, the value of (−23) –[(−25) – {(−17) –(−19)}] is 4.

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