Pyramid Expression
1. **State the problem:**
We have a pyramid of bricks where the top brick expression equals the sum of the two bricks below it. The expressions are:
- Top brick: $8f + 7w + 13$
- Bottom left brick: $3f + 4w + 6$
- Bottom right brick: $?$ (unknown, to find)
2. **Set up the equation:**
Since the top brick is the sum of the two bottom bricks, we have:
$$8f + 7w + 13 = (3f + 4w + 6) + ?$$
3. **Isolate the unknown expression:**
Subtract the left bottom brick from the top brick:
$$? = (8f + 7w + 13) - (3f + 4w + 6)$$
4. **Simplify the right side:**
$$? = 8f - 3f + 7w - 4w + 13 - 6$$
$$? = 5f + 3w + 7$$
5. **Final answer:**
The expression that should replace the question mark is:
$$5f + 3w + 7$$