Question

Simplify the following

$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$

Answer 1

Given

$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$

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

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=$$7-\left[-3+5of6-\left\{-5+\left(18-8\right)\right\}\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=$$7-\left[-3+5of6-\left\{-5+10\right\}\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=$$7-\left[-3+5of6-5\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=7-\left[-3+5\times 6-5\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=7-\left[-3+30-5\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=7-\left[27-5\right]$

$\Rightarrow$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=7-22$

$\therefore$$7-\left[-3+5of6-\left\{-5+\left(6\times 3-8\right)\right\}\right]$$=-15$

Hence, the correct answer is $-15$