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To solve the expression:

\[
2t - 8r + 4r - 7t
\]

We combine the like terms:

1. Combine the terms involving \( t \):
   \[
   2t - 7t = -5t
   \]

2. Combine the terms involving \( r \):
   \[
   -8r + 4r = -4r
   \]

So, the simplified expression is:

\[
-5t - 4r
\]

Let me know if you'd like further clarification!

### Related questions:
1. How do you identify like terms in an algebraic expression?
2. What are the steps to combine terms in more complex expressions?
3. How do coefficients affect the process of simplifying expressions?
4. Can we combine terms if they have different variables or exponents?
5. What is the next step if we need to factor the simplified expression?

### Tip:
Always group similar variable terms together before performing any operations to avoid confusion.

Learn how to simplify the algebraic expression 2t - 8r + 4r - 7t by combining like terms. This problem covers essential algebra concepts and is suitable for students in Grades 6-8.

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