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Mathematics

Simplify:

(9)[(5){11(852)}](-9) - [(-5) - \text{\textbraceleft}11 - (8 - \overline{5 - 2})\text{\textbraceright}]

Integers

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Answer

Given expression:

(9)[(5){11(852)}](-9) - [(-5) - \text{\textbraceleft}11 - (8 - \overline{5 - 2})\text{\textbraceright}]

=(9)[(5){11(83)}][Removing ’bar’]=(9)[(5){115}][Simplifying ( )]=(9)[(5)6][Simplifying { }]=(9)[11][Removing ( )]=9+11=2[Removing [ ]]= (-9) - [(-5) - \text{\textbraceleft}11 - (8 - 3)\text{\textbraceright}] \hspace{1.8cm}\text{[Removing 'bar']} \\[1em] = (-9) - [(-5) - \text{\textbraceleft}11 - 5\text{\textbraceright}] \hspace{2.5cm}\text{[Simplifying ( )]} \\[1em] = (-9) - [(-5) - 6] \hspace{3.7cm}\text{[Simplifying \text{\textbraceleft} \text{\textbraceright}]} \\[1em] = (-9) - [-11] \hspace{4cm}\text{[Removing ( )]} \\[1em] = -9 + 11 = 2 \hspace{3.9cm}\text{[Removing [ ]]}

The answer is 2

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