Question

Simplify the following

$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$

Answer 1

Given

$-5-\left[-4+15÷5-\left\{6-(2+8)\right\}\right]$

According to BODMAS rule, we need to solve bracket terms first

$\Rightarrow$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-5-\left[4+15÷5-\left\{6-10\right\}\right]$

$\Rightarrow$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-5-\left[4+15÷5-\left\{-4\right\}\right]$

$\Rightarrow$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-5-\left[4+15÷5+4\right]$

$\Rightarrow$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-5-\left[4+3+4\right]$

$\Rightarrow$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-5-\left[11\right]$

$\therefore$$-5-\left[4+15÷5-\left\{6-(2+8)\right\}\right]$$=-16$

Hence, the correct answer is $-16$