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\sqrt{3}-\left(-1\right)+2\times \frac{\sqrt{3}}{3}
Cancel out 3 and 3.
\sqrt{3}+1+2\times \frac{\sqrt{3}}{3}
The opposite of -1 is 1.
\sqrt{3}+1+\frac{2\sqrt{3}}{3}
Express 2\times \frac{\sqrt{3}}{3} as a single fraction.
\frac{5}{3}\sqrt{3}+1
Combine \sqrt{3} and \frac{2\sqrt{3}}{3} to get \frac{5}{3}\sqrt{3}.