Let's simplify the expression \( 9(-6p - 4) + 3(3p - 5) \) step by step.

1. Distribute the \(9\) to both terms inside the first parentheses:
\[
9(-6p) + 9(-4) = -54p - 36
\]

2. Distribute the \(3\) to both terms inside the second parentheses:
\[
3(3p) + 3(-5) = 9p - 15
\]

3. Now combine all the terms:
\[
-54p - 36 + 9p - 15
\]

4. Combine like terms:
   - Combine the \(p\)-terms: \(-54p + 9p = -45p\)
   - Combine the constant terms: \(-36 - 15 = -51\)

So, the simplified expression is:
\[
-45p - 51
\]

Would you like further clarification or additional details?

Here are 5 related questions:
1. How do you factor expressions involving variables and constants?
2. What happens if you reverse the order of operations in a similar expression?
3. How do you solve equations involving parentheses and variables?
4. Can you graph linear expressions like this one on a coordinate plane?
5. How do terms with similar variables combine in algebra?

**Tip:** Always distribute multiplication carefully before combining like terms to avoid errors!

Simplify 9(−6p−4)+3(3p−5) in simplest terms.

Learn how to simplify the algebraic expression 9(-6p - 4) + 3(3p - 5) step-by-step using the distributive property and combining like terms. This problem is ideal for students in Grades 7-8 studying algebraic expressions and variable manipulation.

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