Complete the Expression: 9a+8b+7c+?=9a+12b+7c

To solve this problem, we'll follow these steps:

• Step 1: Compare both sides of the equation
• Step 2: Identify and equate the coefficients of similar terms
• Step 3: Solve for the missing term

Now, let's work through each step:
Step 1: The equation we need to balance is $9a + 8b + 7c + \_ - bc = 9a + 12b + 7c$.
Step 2: Compare terms in both expressions. We see that $9a$ and $7c$ are matched on both sides. For the $b$ terms, we have $8b$ on the left and $12b$ on the right, indicating that the left-hand side needs an additional $4b$ to balance $b$ terms.
Step 3: The missing term must cancel $bc$ and add $4b$. This means the term should be $\frac{4b}{c}$ because $\frac{4}{c} \cdot c = 4$, thus giving us the required $4b$.

Therefore, the solution to the problem is $\frac{4}{c}$.