Verified Answer :

40 = -5 × \(\frac{n}{8}\)

First, simplify 5 × \(\frac{n}{8}\) to \(\frac{5n}{8}\) / Your problem should look like: 40 = \(-\frac{5n}{8}\)
Second, multiply both sides by 8. / Your problem should look like: 320 = -5n
Third, divide both sides by -5. / Your problem should look like: \(\frac{320}{-5}\) = n
Fourth, simplify \(\frac{320}{-5}\) to \(- \frac{320}{5}\) / Your problem should look like: \(-\frac{320}{5}\) = n
Fifth, simplify \(\frac{320}{5}\) to 64. / Your problem should look like: -64 = n
Sixth, switch sides. / Your problem should look like: n = -64

Answer: n = -64

TSO

\(40 = \frac{-5}{8}n \\\\40 \times- \frac{8}{5} = -\frac{5}{8}n\times -\frac{8}{5}\\\\-64 = n\\\\\boxed{n=-64}\)