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1.53-\left(2-|-11.64+1.53-1.36|\right)
Subtract 8 from 9.53 to get 1.53.
1.53-\left(2-|-10.11-1.36|\right)
Add -11.64 and 1.53 to get -10.11.
1.53-\left(2-|-11.47|\right)
Subtract 1.36 from -10.11 to get -11.47.
1.53-\left(2-11.47\right)
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -11.47 is 11.47.
1.53-\left(-9.47\right)
Subtract 11.47 from 2 to get -9.47.
1.53+9.47
The opposite of -9.47 is 9.47.
11
Add 1.53 and 9.47 to get 11.