Question

Using the properties of equality, solve the equation 14(8−16g)+8=g .(1 point

Answer 1

To solve the equation \( 14(8 - 16g) + 8 = g \), let's follow the steps below:

1. Distribute the \( 14 \) on the left side:
\[
14 \cdot 8 - 14 \cdot 16g + 8 = g
\]
This simplifies to:
\[
112 - 224g + 8 = g
\]

2. Combine like terms:
\[
120 - 224g = g
\]

3. To isolate \( g \), add \( 224g \) to both sides:
\[
120 = g + 224g
\]
This simplifies to:
\[
120 = 225g
\]

4. Now, to solve for \( g \), divide both sides by \( 225 \):
\[
g = \frac{120}{225}
\]

5. Simplify the fraction:
\[
g = \frac{8}{15}
\]

Thus, the solution to the equation is:
\[
g = \frac{8}{15}
\]