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Mathematics

Simplify:

11[(8){10(974)}]11 - [(-8) - \text{\textbraceleft}10 - (9 - \overline{7 - 4})\text{\textbraceright}]

Integers

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Answer

Given expression:

11[(8){10(974)}]11 - [(-8) - \text{\textbraceleft}10 - (9 - \overline{7 - 4})\text{\textbraceright}]

=11[(8){10(93)}][Removing ’bar’]=11[(8){106}][Simplifying ( )]=11[(8)4][Simplifying { }]=11[12][Removing ( )]=11+12=23[Removing [ ]]= 11 - [(-8) - \text{\textbraceleft}10 - (9 - 3)\text{\textbraceright}] \hspace{1.8cm}\text{[Removing 'bar']} \\[1em] = 11 - [(-8) - \text{\textbraceleft}10 - 6\text{\textbraceright}] \hspace{2.5cm}\text{[Simplifying ( )]} \\[1em] = 11 - [(-8) - 4] \hspace{3.7cm}\text{[Simplifying \text{\textbraceleft} \text{\textbraceright}]} \\[1em] = 11 - [-12] \hspace{4cm}\text{[Removing ( )]} \\[1em] = 11 + 12 = 23 \hspace{3.5cm}\text{[Removing [ ]]}

The answer is 23

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