To simplify the expression \( (2w - 4v - 5) - 2 \), we can distribute the negative sign and combine like terms:

\[
(2w - 4v - 5) - 2 = 2w - 4v - 5 - 2
\]

Now combine the constants \(-5\) and \(-2\):

\[
2w - 4v - 7
\]

Thus, the simplified expression is:

\[
2w - 4v - 7
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would the expression change if we added 3 to both sides?
2. What if the coefficient of \( w \) was multiplied by 3?
3. How can you factor out any common terms from the simplified expression?
4. How does distributing negative signs affect an expression?
5. What happens if \( v = 0 \) and \( w = 0 \)?

**Tip:** Always combine like terms and constants first when simplifying algebraic expressions.

This solution explains how to simplify the algebraic expression (2w - 4v - 5) - 2 using the distributive property and combining like terms. Suitable for students in Grades 6-8, it covers key concepts such as simplifying expressions and working with constants.

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