Solve the equation for $M$.
\[
f=-\frac{G M n}{r^{2}}
\]

Answer

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Answer

The solution to the equation for M is $\boxed{-\frac{f r^{2}}{G n}}$

Steps

Step 1 ：Given the equation $f=-\frac{G M n}{r^{2}}$

Step 2 ：We need to solve the equation for M

Step 3 ：Multiply both sides of the equation by $-\frac{r^2}{Gn}$

Step 4 ：The solution to the equation for M is $\boxed{-\frac{f r^{2}}{G n}}$