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3=-8-9\left(-2\right)+b
Calculate -2 to the power of 3 and get -8.
3=-8-\left(-18\right)+b
Multiply 9 and -2 to get -18.
3=-8+18+b
The opposite of -18 is 18.
3=10+b
Add -8 and 18 to get 10.
10+b=3
Swap sides so that all variable terms are on the left hand side.
b=3-10
Subtract 10 from both sides.
b=-7
Subtract 10 from 3 to get -7.