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

Question

4
(
𝑔
−
2
)
+
(
𝑔
+
2
)
.(1 point)
Responses

5g−6
5
𝑔
−
6
5 g minus 6

5g
5
𝑔
5 g

5g−10
5
𝑔
−
10
5 g minus 10

5g+10

Answer 1

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

1. Start with the expression: \[ 4(g - 2) + (g + 2) \]

2. Apply the distributive property to the first term: \[ 4g - 8 + (g + 2) \]

3. Now, combine like terms (the \(g\) terms and the constant terms):

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

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

Thus, the final answer is: \[ \boxed{5g - 6} \]