Final answer:
To solve for B in the equation fb + 3b = d, combine like terms and divide both sides by (f + 3) to get B = d / (f + 3).
Step-by-step explanation:
The goal is to solve the equation for B in the equation fb + 3b = d, where fb represents the product of some constant f and b. To isolate B, one must combine like terms and then use algebraic operations to get B on one side of the equation.
Here is the step-by-step solution:
Combine the like terms that include b: fb + 3b = (f + 3)b.
Next, isolate B by dividing both sides of the equation by (f + 3): B = \( \frac{d}{f + 3} \).
Thus, the solution for B is \( B = \frac{d}{f + 3} \) when the equation is solved correctly.