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

Question

.(1 point)
Responses

5g+10
5 g plus 10

5g−10
5 g minus 10

5g−6
5 g minus 6

5g

Answer 1

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

1. Distribute \( 4 \) in \( 4(g - 2) \): \[ 4(g - 2) = 4g - 8 \]

2. Now substitute this back into the original expression: \[ 4(g - 2) + (g + 2) = (4g - 8) + (g + 2) \]

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

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