Rewrite in simplest terms: 5, left parenthesis, minus, 9, q, plus, 7, right parenthesis, plus, 3, left parenthesis, 5, q, plus, 5, right parenthesis5(−9*q*+7)+3(5*q*+5)

The expression \( 5(-9q + 7) + 3(5q + 5) \) can be simplified as follows:

1. Distribute the \( 5 \) across the terms inside the first set of parentheses:  
   \[ 5(-9q + 7) = -45q + 35 \]

2. Distribute the \( 3 \) across the terms inside the second set of parentheses:  
   \[ 3(5q + 5) = 15q + 15 \]

3. Combine the like terms:  
   \[ -45q + 15q + 35 + 15 \]

4. Simplify further:  
   \[ -30q + 50 \]

So, the simplest form of the expression is:

\[ -30q + 50 \]

Would you like more details on this simplification or have any questions?

Here are 5 related questions to consider:
1. What is the process for distributing a constant over an expression?
2. How do you combine like terms in an algebraic expression?
3. How would this expression change if the signs inside the parentheses were different?
4. Can this simplified expression be factored further?
5. What does this expression represent if \( q \) has a specific value?

**Tip:** Always take care to apply the distributive property correctly, ensuring that each term inside the parentheses is multiplied by the number outside.

Learn how to simplify the expression 5(-9q + 7) + 3(5q + 5) step-by-step. This problem involves applying the distributive property and combining like terms in algebra. Suitable for students in Grades 7-9.

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