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\left(45-12\times 5\right)\left(-2\right)+\frac{10}{-2}-7\left(-2-1\right)
Multiply 15 and 3 to get 45.
\left(45-60\right)\left(-2\right)+\frac{10}{-2}-7\left(-2-1\right)
Multiply 12 and 5 to get 60.
-15\left(-2\right)+\frac{10}{-2}-7\left(-2-1\right)
Subtract 60 from 45 to get -15.
30+\frac{10}{-2}-7\left(-2-1\right)
Multiply -15 and -2 to get 30.
30-5-7\left(-2-1\right)
Divide 10 by -2 to get -5.
25-7\left(-2-1\right)
Subtract 5 from 30 to get 25.
25-7\left(-3\right)
Subtract 1 from -2 to get -3.
25-\left(-21\right)
Multiply 7 and -3 to get -21.
25+21
The opposite of -21 is 21.
46
Add 25 and 21 to get 46.