Question

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

Answer 1

To simplify the expression \( 4(g-2) + (g+2) \), we can apply the distributive property and combine like terms. Here are the steps:

1. Distribute \( 4 \) to the terms inside the first parentheses:
\[
4(g-2) = 4g - 8
\]

2. Now, write the entire expression with the distributed term:
\[
4(g-2) + (g+2) = (4g - 8) + (g + 2)
\]

3. Now, combine like terms:
- Combine the \( g \) terms: \( 4g + g = 5g \)
- Combine the constant terms: \( -8 + 2 = -6 \)

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

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