Question

the hanger has been updated to show we’re dividing each side by 4. now, rewrite the equation to solve for n.
(there is an image of a hanger with 4 green circles labeled n and a purple bar labeled 32, and below there are some equations: 35 = 4n + 3, -3 = -3, 32/4 = 4n/4, and two empty boxes with an equal sign between them)

Explanation:

Step1: Analyze the hanger diagram

The hanger shows 4 equal parts (each labeled \( n \)) balancing with 32. So the equation is \( 4n = 32 \).

Step2: Solve for \( n \) by dividing both sides by 4

To isolate \( n \), we divide both sides of the equation \( 4n = 32 \) by 4.

$$ \frac{4n}{4}=\frac{32}{4} $$

Simplifying both sides, we get \( n = 8 \).

Answer:

\( n = 8 \)