Using the properties of equality, solve the equation 1/4(8−16g)+8=g

Question

.(1 point)
The solution to the equation is g=

Answer 1

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

1. Distribute \(\frac{1}{4}\) within the parentheses: \[ \frac{1}{4}(8) - \frac{1}{4}(16g) + 8 = g \] \[ 2 - 4g + 8 = g \]

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

3. Add \(4g\) to both sides to get all \(g\) terms on one side: \[ 10 = g + 4g \] \[ 10 = 5g \]

4. Divide both sides by 5 to isolate \(g\): \[ g = \frac{10}{5} \] \[ g = 2 \]

Thus, the solution to the equation is \( g = 2 \).