https://file.aiquickdraw.com/mathbot/file/1728656696719smnfj0fn.jpg

The expression in the image is:

\[
2c + 7d - 8c - c - 5 + 4d
\]

Let’s simplify it by combining like terms:

1. Combine the \(c\)-terms:
   \[
   2c - 8c - c = -7c
   \]

2. Combine the \(d\)-terms:
   \[
   7d + 4d = 11d
   \]

3. The constant term remains:
   \[
   -5
   \]

Thus, the simplified expression is:

\[
-7c + 11d - 5
\]

Would you like further details or explanations on this? 

Here are 5 related questions:
1. How can you factor out common terms in expressions?
2. What does it mean to combine like terms in algebraic expressions?
3. How would you handle an expression with more variables?
4. Can you simplify expressions with fractions in a similar manner?
5. How would this expression look if we needed to solve for \(c\) or \(d\)?

**Tip:** Always arrange like terms together when simplifying expressions to avoid mistakes.

Simplify the expression: 2c + 7d - 8c - c - 5 + 4d

Learn how to simplify the algebraic expression 2c + 7d - 8c - c - 5 + 4d. This solution involves combining like terms and using basic algebraic rules. Suitable for students in Grades 7-9.

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