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 and simplifying the expression.

1. Distribute \( 14 \) across the terms inside the parentheses:
\[
14 \times 8 - 14 \times 16g = 112 - 224g
\]
So the equation becomes:
\[
112 - 224g + 8 = g
\]

2. Combine like terms on the left side:
\[
112 + 8 - 224g = g
\]
\[
120 - 224g = g
\]

3. Now, add \( 224g \) to both sides to get all terms involving \( g \) on one side:
\[
120 = g + 224g
\]
\[
120 = 225g
\]

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

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

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