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

1 answer

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

1. Distribute the 4 across the terms inside the first set of parentheses:
\(4 \cdot g + 4 \cdot (-2) + (g + 2)\)

2. Perform the multiplication:
\(4g - 8 + g + 2\)

3. Combine the like terms (\(4g\) and \(g\), and then \(-8\) and \(2\)):

\(4g + g = 5g\)
\(-8 + 2 = -6\)

4. Now add these results together to get the final simplified expression:
\(5g - 6\)

So, \(4(g-2) + (g+2)\) simplifies to \(5g - 6\).