Solve for α
\alpha =-\frac{11}{5}=-2.2
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10\times 2+2=-10\alpha
Multiply both sides of the equation by 100, the least common multiple of 10,100.
20+2=-10\alpha
Multiply 10 and 2 to get 20.
22=-10\alpha
Add 20 and 2 to get 22.
-10\alpha =22
Swap sides so that all variable terms are on the left hand side.
\alpha =\frac{22}{-10}
Divide both sides by -10.
\alpha =-\frac{11}{5}
Reduce the fraction \frac{22}{-10} to lowest terms by extracting and canceling out 2.
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