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7+\frac{28}{17}\left(14+4\right)-32^{3}
Multiply 7 and 2 to get 14.
7+\frac{28}{17}\times 18-32^{3}
Add 14 and 4 to get 18.
7+\frac{28\times 18}{17}-32^{3}
Express \frac{28}{17}\times 18 as a single fraction.
7+\frac{504}{17}-32^{3}
Multiply 28 and 18 to get 504.
\frac{119}{17}+\frac{504}{17}-32^{3}
Convert 7 to fraction \frac{119}{17}.
\frac{119+504}{17}-32^{3}
Since \frac{119}{17} and \frac{504}{17} have the same denominator, add them by adding their numerators.
\frac{623}{17}-32^{3}
Add 119 and 504 to get 623.
\frac{623}{17}-32768
Calculate 32 to the power of 3 and get 32768.
\frac{623}{17}-\frac{557056}{17}
Convert 32768 to fraction \frac{557056}{17}.
\frac{623-557056}{17}
Since \frac{623}{17} and \frac{557056}{17} have the same denominator, subtract them by subtracting their numerators.
-\frac{556433}{17}
Subtract 557056 from 623 to get -556433.