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\frac{15}{2}+4-\left(6-2\right)^{2}
Multiply 3 and 5 to get 15.
\frac{23}{2}-\left(6-2\right)^{2}
Add \frac{15}{2} and 4 to get \frac{23}{2}.
\frac{23}{2}-4^{2}
Subtract 2 from 6 to get 4.
\frac{23}{2}-16
Calculate 4 to the power of 2 and get 16.
-\frac{9}{2}
Subtract 16 from \frac{23}{2} to get -\frac{9}{2}.