Let's simplify the expression step by step:

\[
-7a + (-4a) + 7a + 5a - a + (-a)
\]

1. Combine all the terms that have \( a \):

\[
(-7a - 4a + 7a + 5a - a - a) = (-7 - 4 + 7 + 5 - 1 - 1)a
\]

2. Simplify the constants:

\[
(-7 - 4 + 7 + 5 - 1 - 1) = -1
\]

So, the simplified expression is:

\[
-1a \text{ or } -a
\]

Thus, the simplified expression is **\( -a \)**.

Would you like more details or have any questions?

Here are 5 related questions for you:
1. What is the general rule for combining like terms?
2. How would this change if one of the terms didn't involve \( a \)?
3. Can you apply this method to expressions involving more than one variable?
4. What happens if the expression includes fractions?
5. How would you handle parentheses in a similar expression?

**Tip**: Always simplify expressions by grouping like terms (terms with the same variable raised to the same power).

Learn how to simplify the algebraic expression -7a + -4a + 7a + 5a - a + -a step by step. This problem covers the concept of combining like terms, a key topic in Algebra, and is suitable for students in Grades 6-8.

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