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\frac{\sqrt{33}+7+7-\sqrt{33}}{8}
Since \frac{\sqrt{33}+7}{8} and \frac{7-\sqrt{33}}{8} have the same denominator, add them by adding their numerators.
\frac{14}{8}
Do the calculations in \sqrt{33}+7+7-\sqrt{33}.
\frac{7}{4}
Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.