Question

write an equation that represents this hanger diagram. then solve for n. first, write an equation that represents this hanger diagram.

Explanation:

Step1: Set up equality for hanger

The left side has $2n + 24$, the right side has $4n + 6$. Since the hanger is balanced, set them equal:
$2n + 24 = 4n + 6$

Step2: Isolate n terms

Subtract $2n$ from both sides to group n terms:
$24 = 2n + 6$

Step3: Isolate the n term

Subtract 6 from both sides:
$18 = 2n$

Step4: Solve for n

Divide both sides by 2:
$n = \frac{18}{2}$

Answer:

Equation: $2n + 24 = 4n + 6$
Value of $n$: $9$