## Simplifying the Expression: (7a³ - 2a - 2) + (-5a + 3)

This expression involves combining like terms, which are terms that have the same variable and exponent. Let's break down the process step-by-step:

**1. Identify Like Terms:**

**7a³:**This term has no other similar term in the expression.**-2a**and**-5a:**These terms have the same variable ('a') and exponent (1).**-2**and**3:**These are constant terms.

**2. Combine Like Terms:**

**7a³:**There are no other terms with 'a³' so it remains the same.**-2a - 5a = -7a:**Combine the coefficients of 'a'.**-2 + 3 = 1:**Combine the constants.

**3. Final Simplified Expression:**

Putting everything together, the simplified expression is: **7a³ - 7a + 1**

**Therefore, the simplified form of (7a³ - 2a - 2) + (-5a + 3) is 7a³ - 7a + 1.**