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

Question

.(1 point)
Responses

5g
5 g

5g−10
5 g minus 10

5g+10
5 g plus 10

5g−6

Answer 1

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

1. Distribute \(4\) in the first part of the expression:

   \[ 4(g - 2) = 4g - 8 \]

2. Now, combine it with the second part of the expression:

   \[ 4g - 8 + (g + 2) = 4g - 8 + g + 2 \]

3. Combine the like terms \(4g\) and \(g\), and combine the constants \(-8\) and \(2\):

   \[ 4g + g - 8 + 2 = 5g - 6 \]

So the final result is:

\[ \boxed{5g - 6} \]