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

To add 4(g−2)+(g+2), we distribute the 4 to (g−2) and leave (g+2) as it is:

4(g−2)+(g+2) = 4g − 8 + (g + 2)

Next, we can combine like terms:

= 4g + g − 8 + 2

= 5g − 6

Therefore, 4(g−2)+(g+2) simplifies to 5g − 6.