Let's solve the expression step by step.

Given expression:
\[
7(9a + 6) - (9a - 4)
\]

1. **Distribute the 7 to both terms inside the first parentheses:**
\[
7 \cdot 9a + 7 \cdot 6 = 63a + 42
\]

2. **Distribute the negative sign (-1) to both terms inside the second parentheses:**
\[
-(9a - 4) = -9a + 4
\]

3. **Now combine all the terms:**
\[
63a + 42 - 9a + 4
\]

4. **Combine like terms (terms with \(a\) and constants):**
\[
(63a - 9a) + (42 + 4) = 54a + 46
\]

Thus, the simplified expression is:
\[
54a + 46
\]

Would you like further details or have any questions about this solution?

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Here are 5 related questions to explore:

1. How do you solve expressions with variables on both sides?
2. What are the steps to factorize a binomial like \( 54a + 46 \)?
3. How do you handle distribution with multiple variables?
4. Can you solve an equation like \(54a + 46 = 0\) for \(a\)?
5. How does the distributive property work with negative numbers?

**Tip:** Always check for common factors after simplifying an expression to potentially factor it further!

Discover how to simplify the algebraic expression 7(9a + 6) - (9a - 4) with a clear step-by-step solution. This guide covers key algebraic concepts such as the distributive property and combining like terms, making it perfect for students in Grades 6-8.

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