Let's simplify the expression step by step:

The given expression is:

\[
5 + 2 - 3s + 3s^2 + 7s + 3s^2
\]

### Step 1: Combine like terms
- The constant terms are \(5\) and \(2\).
- The \(s\)-terms are \(-3s\) and \(7s\).
- The \(s^2\)-terms are \(3s^2\) and \(3s^2\).

### Step 2: Simplify each group
- \(5 + 2 = 7\)
- \(-3s + 7s = 4s\)
- \(3s^2 + 3s^2 = 6s^2\)

### Step 3: Write the simplified expression
So the simplified expression is:

\[
6s^2 + 4s + 7
\]

Would you like more details or have any questions about this?

Here are five related questions:
1. How do you combine like terms in an expression?
2. What are the rules for simplifying polynomials?
3. How can you factor a quadratic expression like \(6s^2 + 4s + 7\)?
4. What is the degree of the polynomial \(6s^2 + 4s + 7\)?
5. Can this expression be solved for \(s\) if set equal to 0?

**Tip:** Always group like terms before simplifying any algebraic expression for accuracy.

Understand how to simplify the polynomial expression 5 + 2 - 3s + 3s^2 + 7s + 3s^2. This step-by-step guide demonstrates combining like terms and simplifying the expression to get the result 6s^2 + 4s + 7. Ideal for students in Grades 6-8 learning basic algebra.

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