Rewrite in simplest terms: 9, left parenthesis, minus, 7, t, plus, 4, t, minus, 10, right parenthesis, minus, 9, t9(−7t+4t−10)−9t

To simplify the expression \( 9(-7t + 4t - 10) - 9t \):

1. First, distribute the 9 to each term inside the parentheses:
   \[
   9(-7t) + 9(4t) + 9(-10)
   = -63t + 36t - 90
   \]

2. Combine like terms:
   \[
   (-63t + 36t) = -27t
   \]
   So, the expression becomes:
   \[
   -27t - 90 - 9t
   \]

3. Combine the \( t \)-terms:
   \[
   (-27t - 9t) = -36t
   \]
   So, the final simplified expression is:
   \[
   -36t - 90
   \]

Would you like more details or have any questions? 

Here are some related questions to consider:
1. How would you distribute a number across parentheses for a more complex expression?
2. What is the importance of combining like terms in simplification?
3. Can you factor out common terms after simplification?
4. How do parentheses affect the order of operations in an expression?
5. What is the distributive property in algebra?

**Tip:** Always combine like terms to simplify expressions easily.

Rewrite in simplest terms: 9(−7t + 4t − 10) − 9t

Learn how to simplify the algebraic expression 9(−7t + 4t − 10) − 9t using the distributive property and combining like terms. Follow a step-by-step breakdown, perfect for students in Grades 8-10 looking to strengthen their algebra skills.

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