Solve for k
k=\frac{63}{19\alpha +975}
\alpha \neq -\frac{975}{19}
Solve for α
\alpha =-\frac{975}{19}+\frac{63}{19k}
k\neq 0
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38k\alpha +1950k=126
Use the distributive property to multiply k by 38\alpha +1950.
\left(38\alpha +1950\right)k=126
Combine all terms containing k.
\frac{\left(38\alpha +1950\right)k}{38\alpha +1950}=\frac{126}{38\alpha +1950}
Divide both sides by 38\alpha +1950.
k=\frac{126}{38\alpha +1950}
Dividing by 38\alpha +1950 undoes the multiplication by 38\alpha +1950.
k=\frac{63}{19\alpha +975}
Divide 126 by 38\alpha +1950.
38k\alpha +1950k=126
Use the distributive property to multiply k by 38\alpha +1950.
38k\alpha =126-1950k
Subtract 1950k from both sides.
\frac{38k\alpha }{38k}=\frac{126-1950k}{38k}
Divide both sides by 38k.
\alpha =\frac{126-1950k}{38k}
Dividing by 38k undoes the multiplication by 38k.
\alpha =-\frac{975}{19}+\frac{63}{19k}
Divide 126-1950k by 38k.
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