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 \( 5g - 6 \).