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15-3\times 2+5^{2}-\frac{16}{2}+7
Add 7 and 8 to get 15.
15-6+5^{2}-\frac{16}{2}+7
Multiply 3 and 2 to get 6.
9+5^{2}-\frac{16}{2}+7
Subtract 6 from 15 to get 9.
9+25-\frac{16}{2}+7
Calculate 5 to the power of 2 and get 25.
34-\frac{16}{2}+7
Add 9 and 25 to get 34.
34-8+7
Divide 16 by 2 to get 8.
26+7
Subtract 8 from 34 to get 26.
33
Add 26 and 7 to get 33.