Simplify the following mathematical expressions:
$91 - [22 - {16 \div (39 + 3$ of $3 - 40)}]$

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Solution

Finding the Value of an Expression
Step $1$ : Simplifying the expression using BODMAS.
$91 - [22 - {16 \div (39 + 3$ of $3 - 40)}]$ ; Solving $3$ of $3$
$= 91 - [22 - {16 \div (39 + (3 \times 3) - 40)}]$ ; Solving open brackets- Multiplication
$= 91 - [22 - {16 \div (39 + 9 - 40)}]$ ; Solving open brackets- Addition
$= 91 - [22 - {16 \div (48 - 40)}]$ ; Solving open brackets- Subtraction
$= 91 - [22 - {16 \div 8}]$ ; Solving curly brackets- Multiplication
$= 91 - [22 - 2]$ ; Solving square brackets- Subtraction
$= 91 - 20$ ; Subtraction
$= 71$
Hence, the value of the expression is $71$ .

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