Question: Fully simplify $3bp + 5pw + 7pb + 4bw + 2wp$
1. **State the problem:** Simplify the algebraic expression $3bp + 5pw + 7pb + 4bw + 2wp$ by combining like terms.
2. **Identify like terms:** Note that multiplication is commutative, so $bp = pb$, $pw = wp$, and $bw = wb$. Group terms accordingly:
$$3bp + 7pb = (3 + 7)bp = 10bp$$
$$5pw + 2wp = (5 + 2)pw = 7pw$$
The term $4bw$ has no like terms.
3. **Write the simplified expression:**
$$10bp + 7pw + 4bw$$
4. **Final answer:** The fully simplified expression is $10bp + 7pw + 4bw$.