Use the properties of operations to add 4(g−2)+(g+2) .(1 point)

Question

Responses

5g
5 g

5g−6
5 g minus 6

5g+10
5 g plus 10

5g−10

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

2. Now, rewrite the expression: \[ 4g - 8 + (g + 2) \]

3. Simplify \( g + 2 \) by adding it to \( 4g - 8 \): \[ 4g - 8 + g + 2 = 4g + g - 8 + 2 \]

4. Combine like terms: \[ (4g + g) + (-8 + 2) = 5g - 6 \]

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