The problem presents a balanced hanger diagram representing an equation. The left side of the hanger has a value of $27$, and the right side has a value of $b + 9$. The task is to choose the correct equation that represents the hanger and then to find the value of $b$ that makes the equation true.

1. Problem Description

The problem presents a balanced hanger diagram representing an equation. The left side of the hanger has a value of $27$, and the right side has a value of $b + 9$. The task is to choose the correct equation that represents the hanger and then to find the value of $b$ that makes the equation true.

2. Solution Steps

First, we need to identify the equation that represents the balanced hanger. From the diagram, we can see that $27$ is equal to the sum of $b$ and $9$. Therefore, the equation is $27 = b + 9$.

Next, we solve for $b$. To isolate $b$, we subtract $9$ from both sides of the equation:

$27 - 9 = b + 9 - 9$

$18 = b$

Thus, $b = 18$.

3. Final Answer

$b = 18$