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Evaluate: [9+(7-8)]-[(21+6)-(22-15)]...

Evaluate:
`[9+(7-8)]-[(21+6)-(22-15)]`

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The correct Answer is:
To evaluate the expression `[9 + (7 - 8)] - [(21 + 6) - (22 - 15)]`, we will follow the order of operations, which includes solving the expressions inside the brackets first. ### Step-by-step Solution: 1. **Evaluate the innermost brackets:** - For the first bracket: \( (7 - 8) \) \[ 7 - 8 = -1 \] - For the second bracket: \( (22 - 15) \) \[ 22 - 15 = 7 \] 2. **Substitute the results back into the expression:** \[ [9 + (-1)] - [(21 + 6) - 7] \] 3. **Evaluate the remaining brackets:** - For the first part: \( 9 + (-1) \) \[ 9 - 1 = 8 \] - For the second part: \( (21 + 6) - 7 \) - First, evaluate \( (21 + 6) \): \[ 21 + 6 = 27 \] - Then, subtract \( 7 \): \[ 27 - 7 = 20 \] 4. **Now substitute these results back into the expression:** \[ 8 - 20 \] 5. **Perform the final subtraction:** \[ 8 - 20 = -12 \] ### Final Answer: The value of the expression is \(-12\).
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