Answer
C = $\frac{5}{9}$F - $\frac{160}{9}$
Work Step by Step
Using the properties of equality we obtain:
$ F =\frac{9}{5}C + 32$
$ F - 32 = \frac{9}{5}C + 32 - 32$ Subtract 32 from both sides
$ F - 32 = \frac{9}{5}C$
$F \times \frac{5}{9} - 32 \times \frac{5}{9} =\frac{9}{5}C \times \frac{5}{9}$ Muliply both sides by $\frac{5}{9}$
C = $\frac{5}{9}$F - $\frac{160}{9}$