Final answer:
To solve the equation bg + 9f = 27 for g, divide by b and then rearrange the terms, resulting in g = (27 - 9f)/b.
Step-by-step explanation:
The student is given the equation bg + 9f = 27 and is asked to solve for g. To isolate g, first divide both sides of the equation by b (assuming b is not zero). The equation then becomes g + (9f/b) = 27/b. Next, to get g by itself, subtract (9f/b) from both sides, leading to g = (27/b) - (9f/b). Simplifying, we can say g = (27 - 9f)/b. This is the solution for g in terms of b and f.