5w + 4(2 + 2w)
Check the final answer first, then review the worked steps.
Problem
5w + 4(2 + 2w)
Answer
\(13w + 8\)
Step-by-step solution
- Distribute the constant: To expand the expression $5w + 4(2 + 2w)$, multiply the constant $4$ by each term inside the parentheses. This gives $4 \times 2 = 8$ and $4 \times 2w = 8w$. The expression becomes $5w + 8 + 8w$.
- Combine like terms: Identify the terms that contain the variable $w$ and add them together. We have $5w$ and $8w$. Adding these gives $5w + 8w = 13w$. The constant term $8$ remains as it is.
- Final expression: Combine the results to get the simplified expression: $13w + 8$.