Simplify the expression:

(3c − 5)(–5) =

To simplify the expression \((3c - 5)(-5)\), distribute \(-5\) to both terms inside the parentheses:

\[
(3c - 5)(-5) = 3c \cdot (-5) + (-5) \cdot (-5)
\]

Now, perform the multiplication:

\[
3c \cdot (-5) = -15c
\]
\[
-5 \cdot (-5) = 25
\]

So, the simplified expression is:

\[
-15c + 25
\]

### Final Answer:
\[
-15c + 25
\]

Would you like more details or have any questions?

Here are 5 related questions to extend your understanding:
1. How would you factor the expression \(-15c + 25\)?
2. What happens when you simplify \((3c - 5)(5)\)?
3. How does distributing work with more complex expressions like \((3c - 5)(2c - 4)\)?
4. Can you distribute a fraction like \((2c + 7)\frac{1}{2}\)?
5. How would you simplify the expression \((3c - 5)^2\)?

**Tip:** When distributing a negative number, remember to change the signs of all the terms inside the parentheses.

Simplify the expression: (3c − 5)(–5) =

Learn how to simplify the expression (3c − 5)(–5) using the distributive property. This step-by-step guide demonstrates how to distribute a negative number across terms in parentheses, covering key algebraic concepts for students in Grades 6-8.

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