Simplify:
10−[8−{11+30÷(4−5−7‾)}]10 - [8 - \text{\textbraceleft}11 + 30 ÷ (4 - \overline{5 - 7})\text{\textbraceright}]10−[8−{11+30÷(4−5−7)}]
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Given expression:
=10−[8−{11+30÷(4−(−2))}][Removing ’bar’]=10−[8−{11+30÷(6)}][Simplifying ( )]=10−[8−{11+5}][Simplifying ÷]=10−[8−16][Simplifying { }]=10−[−8][Simplifying [ ]]=10+8=18[Removing [ ]]= 10 - [8 - \text{\textbraceleft}11 + 30 ÷ (4 - (-2))\text{\textbraceright}] \hspace{2cm}\text{[Removing 'bar']} \\[1em] = 10 - [8 - \text{\textbraceleft}11 + 30 ÷ (6)\text{\textbraceright}] \hspace{3cm}\text{[Simplifying ( )]} \\[1em] = 10 - [8 - \text{\textbraceleft}11 + 5\text{\textbraceright}] \hspace{3.9cm}\text{[Simplifying ÷]} \\[1em] = 10 - [8 - 16] \hspace{4.9cm}\text{[Simplifying \text{\textbraceleft} \text{\textbraceright}]} \\[1em] = 10 - [-8] \hspace{5cm}\text{[Simplifying [ ]]} \\[1em] = 10 + 8 = 18 \hspace{4.5cm}\text{[Removing [ ]]}=10−[8−{11+30÷(4−(−2))}][Removing ’bar’]=10−[8−{11+30÷(6)}][Simplifying ( )]=10−[8−{11+5}][Simplifying ÷]=10−[8−16][Simplifying { }]=10−[−8][Simplifying [ ]]=10+8=18[Removing [ ]]
The answer is 18
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11−[(−8)−{10−(9−7−4‾)}]11 - [(-8) - \text{\textbraceleft}10 - (9 - \overline{7 - 4})\text{\textbraceright}]11−[(−8)−{10−(9−7−4)}]
(−9)−[(−5)−{11−(8−5−2‾)}](-9) - [(-5) - \text{\textbraceleft}11 - (8 - \overline{5 - 2})\text{\textbraceright}](−9)−[(−5)−{11−(8−5−2)}]
By how much does 5 exceed -5?
How much -7 less than -1?
