Solve for F
F=\frac{4\left(C+72\right)}{9}
Solve for C
C=\frac{9\left(F-32\right)}{4}
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C=\frac{9}{4}F-72
Use the distributive property to multiply \frac{9}{4} by F-32.
\frac{9}{4}F-72=C
Swap sides so that all variable terms are on the left hand side.
\frac{9}{4}F=C+72
Add 72 to both sides.
\frac{\frac{9}{4}F}{\frac{9}{4}}=\frac{C+72}{\frac{9}{4}}
Divide both sides of the equation by \frac{9}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
F=\frac{C+72}{\frac{9}{4}}
Dividing by \frac{9}{4} undoes the multiplication by \frac{9}{4}.
F=\frac{4C}{9}+32
Divide C+72 by \frac{9}{4} by multiplying C+72 by the reciprocal of \frac{9}{4}.
C=\frac{9}{4}F-72
Use the distributive property to multiply \frac{9}{4} by F-32.
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