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15=3\times 1+2A\left(-1\right)
Calculate -1 to the power of 2 and get 1.
15=3+2A\left(-1\right)
Multiply 3 and 1 to get 3.
15=3-2A
Multiply 2 and -1 to get -2.
3-2A=15
Swap sides so that all variable terms are on the left hand side.
-2A=15-3
Subtract 3 from both sides.
-2A=12
Subtract 3 from 15 to get 12.
A=\frac{12}{-2}
Divide both sides by -2.
A=-6
Divide 12 by -2 to get -6.