Simplify the following
$- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$

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Solution

Given
$- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$
According to the BODMAS rule, we need to solve the inner bracket terms first
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 - [7 - \{2 + 5 - (6 - 10)\}]$
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 - [7 - \{2 + 5 - (- 4)\}]$
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 - [7 - \{2 + 5 + 4\}]$
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 - [7 - 11]$
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 - [- 4]$
$\Rightarrow$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 8 + 4$
$∴$ $- 8 - [7 - \{2 + 5 - (6 - 7 - 3)\}]$ $= - 4$
Hence, the correct answer is $- 4$

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