Question

Using the properties of equality solve the equation 1/4 (8 - 16g plus 8 )equals g

Answer 1

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

1. Simplify the expression inside the parentheses:

\[
8 - 16g + 8 = 16 - 16g
\]

So the equation becomes:
\[
\frac{1}{4}(16 - 16g) = g
\]

2. Distribute \( \frac{1}{4} \):

\[
\frac{1}{4} \cdot 16 - \frac{1}{4} \cdot 16g = g
\]
\[
4 - 4g = g
\]

3. Now, add \( 4g \) to both sides to get all the terms involving \( g \) on one side:

\[
4 = g + 4g
\]
\[
4 = 5g
\]

4. Now, divide both sides by 5 to solve for \( g \):

\[
g = \frac{4}{5}
\]

So the solution to the equation is:

\[
g = \frac{4}{5}
\]