To simplify the expression \(\frac{3 + 7a - 3a + 7}{3}\), you first need to combine like terms in the numerator before dividing by 3.

1. **Combine like terms** in the numerator:
   - \(7a - 3a = 4a\)
   - \(3 + 7 = 10\)

   So, the expression simplifies to:

   \[
   \frac{4a + 10}{3}
   \]

2. **Distribute** the division by 3 to each term in the numerator:

   \[
   \frac{4a}{3} + \frac{10}{3}
   \]

So, the simplified expression is:

\[
\frac{4a}{3} + \frac{10}{3}
\]

Would you like more details on any part of this process, or do you have any questions?

Here are 5 related questions:
1. How do you simplify algebraic expressions with multiple variables?
2. What is the process for distributing division over addition in an expression?
3. How would you factor the expression \(4a + 10\)?
4. Can you explain how to reduce fractions in algebraic expressions?
5. What steps do you take to solve a multi-step algebraic equation?

**Tip:** Always combine like terms before performing other operations like division or multiplication to simplify your expressions more efficiently.

Learn how to simplify the algebraic expression (3 + 7a - 3a + 7) / 3 step-by-step. This problem covers key algebraic concepts such as simplifying expressions, combining like terms, and fraction operations. Suitable for students in Grades 7-9.

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