Question

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

Answer 1

To simplify the expression \( 4(g - 2) + (g + 2) \), we can use the properties of operations step by step.

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

2. **Rewrite the expression** incorporating this distribution:
\[
4g - 8 + (g + 2)
\]

3. **Remove the parentheses** from the second term:
\[
4g - 8 + g + 2
\]

4. **Combine like terms**:
- Combine the \( g \) terms: \( 4g + g = 5g \)
- Combine the constant terms: \( -8 + 2 = -6 \)

5. **Write the final simplified expression**:
\[
5g - 6
\]

Thus, the expression \( 4(g - 2) + (g + 2) \) simplifies to \( 5g - 6 \).