The given expression is:

$7(3w + 2) + 6w$

Step 1: Expand the brackets

Apply the distributive property by multiplying each term inside the parentheses by 7:

$7 \times 3w = 21w$ $7 \times 2 = 14$

Thus, the expanded expression is:

$21w + 14 + 6w$

Step 2: Combine like terms

Now, add the terms involving $w$:

$21w + 6w = 27w$

So, the simplified expression is:

$27w + 14$

Final Answer:

$27w + 14$

Let me know if you'd like further details or clarifications!

Here are 5 related questions:

1. What is the distributive property in algebra?
2. How would you expand and simplify $5(2x - 3) + 4x$?
3. Can this process be applied to quadratic expressions?
4. How do you factor an expression after expanding it?
5. What are "like terms" and how do you identify them?

Tip: Always combine like terms after expanding to simplify the expression fully!