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Solve for a
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a+3d-5a=0
Subtract 5a from both sides.
-4a+3d=0
Combine a and -5a to get -4a.
-4a=-3d
Subtract 3d from both sides. Anything subtracted from zero gives its negation.
\frac{-4a}{-4}=-\frac{3d}{-4}
Divide both sides by -4.
a=-\frac{3d}{-4}
Dividing by -4 undoes the multiplication by -4.
a=\frac{3d}{4}
Divide -3d by -4.
3d=5a-a
Subtract a from both sides.
3d=4a
Combine 5a and -a to get 4a.
\frac{3d}{3}=\frac{4a}{3}
Divide both sides by 3.
d=\frac{4a}{3}
Dividing by 3 undoes the multiplication by 3.