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Solve for q
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10r-19q=\gamma
Add \gamma to both sides. Anything plus zero gives itself.
-19q=\gamma -10r
Subtract 10r from both sides.
\frac{-19q}{-19}=\frac{\gamma -10r}{-19}
Divide both sides by -19.
q=\frac{\gamma -10r}{-19}
Dividing by -19 undoes the multiplication by -19.
q=\frac{10r-\gamma }{19}
Divide \gamma -10r by -19.
10r-19q=\gamma
Add \gamma to both sides. Anything plus zero gives itself.
10r=\gamma +19q
Add 19q to both sides.
10r=19q+\gamma
The equation is in standard form.
\frac{10r}{10}=\frac{19q+\gamma }{10}
Divide both sides by 10.
r=\frac{19q+\gamma }{10}
Dividing by 10 undoes the multiplication by 10.