To solve for $B$ in the equation:

$F = -m + \frac{B}{q^3}$

Steps:

1. Start with the given equation: $F = -m + \frac{B}{q^3}$

2. Add $m$ to both sides to isolate $\frac{B}{q^3}$: $F + m = \frac{B}{q^3}$

3. Multiply both sides by $q^3$ to solve for $B$: $B = (F + m)q^3$

Thus, the solution is: $B = (F + m)q^3$

Would you like more details or have any other questions? Here are five related questions for further exploration:

1. How would the equation change if $F$ is dependent on $q$?
2. What happens to $B$ if $q$ approaches zero?
3. Can this formula be applied in an electrical context, such as finding magnetic fields?
4. How does varying $m$ affect the value of $B$?
5. How can dimensional analysis help in understanding this equation?

Tip: Always check if you need to isolate a variable by reversing operations like addition, multiplication, or division.