Question

Using the properties of equality, solve the equation 1/4(8−16g)+8=g
.(1 point)
The solution to the equation is g=
.

Answer 1

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

1. Distribute \( \frac{1}{4} \) into \( (8 - 16g) \):
\[
\frac{1}{4} \cdot 8 - \frac{1}{4} \cdot 16g = 2 - 4g
\]
So, the equation now becomes:
\[
2 - 4g + 8 = g
\]

2. Combine like terms on the left side:
\[
10 - 4g = g
\]

3. Next, we want to isolate \( g \). Start by adding \( 4g \) to both sides:
\[
10 = g + 4g
\]
This simplifies to:
\[
10 = 5g
\]

4. Now, divide both sides by \( 5 \):
\[
g = \frac{10}{5} = 2
\]

So, the solution to the equation is:
\[
\boxed{2}
\]