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|-10+\frac{9\times 2}{3}|
Express 9\times \frac{2}{3} as a single fraction.
|-10+\frac{18}{3}|
Multiply 9 and 2 to get 18.
|-10+6|
Divide 18 by 3 to get 6.
|-4|
Add -10 and 6 to get -4.
4
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.