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

Question

1
4
(
8
−
16
𝑔
)
+
8
=
𝑔
.(1 point)
The solution to the equation is g=
𝑔
=
.

Answer 1

To solve the equation \( 14(8 - 16g) + 8 = g \), we can follow these steps:

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

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

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

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

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

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