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Solve for d
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3^{a}+4d=2^{a}
Swap sides so that all variable terms are on the left hand side.
4d=2^{a}-3^{a}
Subtract 3^{a} from both sides.
\frac{4d}{4}=\frac{2^{a}-3^{a}}{4}
Divide both sides by 4.
d=\frac{2^{a}-3^{a}}{4}
Dividing by 4 undoes the multiplication by 4.