Solve for a_1
a_{1}=-\frac{209d}{16}
Solve for d
d=-\frac{16a_{1}}{209}
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-16a_{1}=209d
The equation is in standard form.
\frac{-16a_{1}}{-16}=\frac{209d}{-16}
Divide both sides by -16.
a_{1}=\frac{209d}{-16}
Dividing by -16 undoes the multiplication by -16.
a_{1}=-\frac{209d}{16}
Divide 209d by -16.
209d=-16a_{1}
Swap sides so that all variable terms are on the left hand side.
\frac{209d}{209}=-\frac{16a_{1}}{209}
Divide both sides by 209.
d=-\frac{16a_{1}}{209}
Dividing by 209 undoes the multiplication by 209.
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