Use the properties of operations to add 4 ( g - 2 ) + ( g + 2 )

To simplify the expression \( 4(g - 2) + (g + 2) \), we can use the distributive property and then combine like terms.

1. Distribute the \( 4 \) into \( (g - 2) \): \[ 4(g - 2) = 4g - 8 \]

2. Now, substitute this back into the expression: \[ 4(g - 2) + (g + 2) = (4g - 8) + (g + 2) \]

3. Combine the like terms:

   • Combine \( 4g \) and \( g \): \[ 4g + g = 5g \]
   • Combine \(-8\) and \(2\): \[ -8 + 2 = -6 \]

4. Putting it all together, we have: \[ 5g - 6 \]

Therefore, the final simplified expression is \( 5g - 6 \).

The correct answer is: \[ \boxed{5g - 6} \]