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Solve 25-[40/{8(6-6-1)}].

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Final answer:

The solution to the mathematical expression 25-[40/{8(6-6-1)}] is 30, using the order of operations which is Parentheses, Exponents, Division and Multiplication, and Addition and Subtraction.

Step-by-step explanation:

To solve the mathematical expression 25-[40/{8(6-6-1)}], you need to follow the order of operations, also known as BODMAS or PEMDAS. This rule states that the operations should be carried out in the following order: Parentheses or Brackets, Orders or Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Let's break down the problem:

  1. First, solve the equation in the innermost bracket (6-6-1). The result is -1.
  2. Next, multiply this by 8. Since the multiplication sign is not explicitly stated between 8 and the brackets, it's understood that you need to multiply. The result is -8.
  3. Then, divide 40 by -8. The result is -5.
  4. Finally, subtract this result from 25. The resulting answer is 25 - (-5) = 30.

Learn more about Order of Operations

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