Question

Complete this assessment to review what you’ve learned. It will not count toward your grade. 2 of 52 of 5 Items Question Using the properties of equality, solve the equation 14(8−16g)+8=g .(1 point) The solution to the equation is g=

Answer 1

To solve the equation \( 14(8 - 16g) + 8 = g \), we will start by distributing the 14 on the left side.

1. Distribute the 14:
\[
14 \cdot 8 - 14 \cdot 16g + 8 = g
\]
\[
112 - 224g + 8 = g
\]

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

3. Add \( 224g \) to both sides to isolate \( g \):
\[
120 = g + 224g
\]
\[
120 = 225g
\]

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

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

So, the solution to the equation is \( g = \frac{8}{15} \).