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5+\sqrt{16}-8^{2}+3\left(-6\right)
Divide 25 by 5 to get 5.
5+4-8^{2}+3\left(-6\right)
Calculate the square root of 16 and get 4.
9-8^{2}+3\left(-6\right)
Add 5 and 4 to get 9.
9-64+3\left(-6\right)
Calculate 8 to the power of 2 and get 64.
-55+3\left(-6\right)
Subtract 64 from 9 to get -55.
-55-18
Multiply 3 and -6 to get -18.
-73
Subtract 18 from -55 to get -73.