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5q=\frac{3}{4}-5u
The equation is in standard form.
\frac{5q}{5}=\frac{\frac{3}{4}-5u}{5}
Divide both sides by 5.
q=\frac{\frac{3}{4}-5u}{5}
Dividing by 5 undoes the multiplication by 5.
q=\frac{3}{20}-u
Divide \frac{3}{4}-5u by 5.
\frac{3}{4}-5u=5q
Swap sides so that all variable terms are on the left hand side.
-5u=5q-\frac{3}{4}
Subtract \frac{3}{4} from both sides.
\frac{-5u}{-5}=\frac{5q-\frac{3}{4}}{-5}
Divide both sides by -5.
u=\frac{5q-\frac{3}{4}}{-5}
Dividing by -5 undoes the multiplication by -5.
u=\frac{3}{20}-q
Divide 5q-\frac{3}{4} by -5.