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To simplify the given expression \(-3c + c^2 - 2 + c^2 + 5c + 3\), we need to combine like terms. Here's the step-by-step process:

1. **Combine the \(c^2\) terms:**
   - \(c^2 + c^2 = 2c^2\)

2. **Combine the \(c\) terms:**
   - \(-3c + 5c = 2c\)

3. **Combine the constant terms:**
   - \(-2 + 3 = 1\)

Thus, the simplified expression is:
\[
2c^2 + 2c + 1
\]

Do you need further details or have any questions?

### Related Questions:
1. How do you simplify expressions with higher powers, like \(c^3\)?
2. What happens if there are no like terms in an expression?
3. Can you explain how to factor the expression \(2c^2 + 2c + 1\)?
4. How do we simplify expressions with fractions or decimal coefficients?
5. What is the process for solving quadratic equations like \(2c^2 + 2c + 1 = 0\)?

### Tip:
Always group similar terms together (like powers of \(c\)) before simplifying to avoid errors.

Simplify the following expression: -3c + c^2 - 2 + c^2 + 5c + 3 by combining like terms.

Learn how to simplify algebraic expressions by combining like terms. This example simplifies -3c + c^2 - 2 + c^2 + 5c + 3 into 2c^2 + 2c + 1. Perfect for students in Grades 7-9 learning algebra.

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