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

Question

.(1 point)
Responses

5g−10
5 g minus 10

5g
5 g

5g+10
5 g plus 10

5g−6

Answer 1

To simplify \( 4(g - 2) + (g + 2) \), we will use the properties of operations, specifically the distributive property.

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

2. Combine it with the second expression:
   \( 4g - 8 + (g + 2) = 4g - 8 + g + 2 \)

3. Combine like terms:
   \[ 4g + g = 5g \] \[ -8 + 2 = -6 \] So, combining these results gives: \[ 5g - 6 \]

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