Question

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:

\[
\boxed{2}
\]