Question

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

5g - 6

5g - 10

5g + 10

5g

Answer 1

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

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

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

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

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

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

The correct answer is:
\[
\boxed{5g - 6}
\]