Question

use the hanger diagram to solve for the value of d.
44 = 5d + 4
subtract 44 from each side
add 4 to each side
subtract 4 from each side

Explanation:

Step1: Isolate the term with d

To solve for \( d \) in the equation \( 44 = 5d + 4 \), we first need to isolate the term with \( d \). We do this by subtracting 4 from both sides of the equation. This is based on the subtraction property of equality, which states that if we subtract the same number from both sides of an equation, the equation remains true.
\[
44 - 4 = 5d + 4 - 4
\]

Step2: Simplify both sides

Simplifying the left side: \( 44 - 4 = 40 \). Simplifying the right side: \( 5d + 4 - 4 = 5d \). So now our equation is:
\[
40 = 5d
\]

Step3: Solve for d

To solve for \( d \), we divide both sides of the equation by 5. This is based on the division property of equality, which states that if we divide both sides of an equation by the same non - zero number, the equation remains true.
\[
d=\frac{40}{5}
\]
\[
d = 8
\]

Answer:

The value of \( d \) is 8.