$$\frac{F-32}{180}=\frac{40-0}{100}$$
$F=104$
$$5\left(F-32\right)=9\left(40-0\right)$$
$$5F-160=9\left(40-0\right)$$
$$5F-160=9\times 40$$
$$5F-160=360$$
$$5F=360+160$$
$$5F=520$$
$$F=\frac{520}{5}$$
$$F=104$$
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