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|-\frac{9+1}{3}|-\left(-3\right)
Multiply 3 and 3 to get 9.
|-\frac{10}{3}|-\left(-3\right)
Add 9 and 1 to get 10.
\frac{10}{3}-\left(-3\right)
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{10}{3} is \frac{10}{3}.
\frac{10}{3}+3
The opposite of -3 is 3.
\frac{10}{3}+\frac{9}{3}
Convert 3 to fraction \frac{9}{3}.
\frac{10+9}{3}
Since \frac{10}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.
\frac{19}{3}
Add 10 and 9 to get 19.