Question

there are many ways you could solve this equation. we need to get g alone on one side, and a constant number alone on the other side. since g is inside the parentheses on the left, we can use the distributive property to rewrite the equation without parentheses. go for it. distribute the \\(\frac{1}{4}\\) to \\(24g - 8\\). you can think of this as \\((24g - 8)\\) is being multiplied by \\(\frac{1}{4}\\). \\(\frac{1}{4}(24g - 8) = 8g + 6\\) \\(\square = 8g + 6\\)

Explanation:

Step1: Apply distributive property

The distributive property states that $a(b + c)=ab + ac$. Here, $a=\frac{1}{4}$, $b = 24g$, and $c=- 8$. So we calculate $\frac{1}{4}\times24g$ and $\frac{1}{4}\times(-8)$ separately.
$\frac{1}{4}\times24g=\frac{24g}{4} = 6g$ and $\frac{1}{4}\times(-8)=\frac{-8}{4}=-2$.

Step2: Combine the results

After applying the distributive property, we combine the two terms we got. So $\frac{1}{4}(24g - 8)=6g-2$.

Answer:

$6g - 2$