using the properties of equality solve 1/4 (8 - 16g) + 8 = g The solution to the equation is g =

Answer 1

To solve the equation \(\frac{1}{4}(8 - 16g) + 8 = g\), we will follow these steps:

1. Distribute \(\frac{1}{4}\) to the terms inside the parentheses:

\[ \frac{1}{4}(8) - \frac{1}{4}(16g) + 8 = g \]

This simplifies to:

\[ 2 - 4g + 8 = g \]

2. Combine like terms on the left side:

\[ 10 - 4g = g \]

3. Add \(4g\) to both sides to move all terms involving \(g\) to one side:

\[ 10 = g + 4g \]

This simplifies to:

\[ 10 = 5g \]

4. Divide both sides by \(5\) to solve for \(g\):

\[ g = \frac{10}{5} \]

This simplifies to:

\[ g = 2 \]

So the solution to the equation is:

\[ \boxed{2} \]