Let's solve the equation step by step using the instructions provided in the image:
---
Given Equation:
$$
3(n - 2) = 36
$$
---
Step 1: Use the Distributive Property
Distribute the 3 to both terms inside the parentheses:
$$
3 \cdot n - 3 \cdot 2 = 36
$$
$$
3n - 6 = 36
$$
✔ This matches what is shown in the image.
---
Step 2: Undo Addition or Subtraction
We need to isolate the term with $ n $. The $-6$ is being subtracted, so we
add 6 to both sides:
$$
3n - 6 + 6 = 36 + 6
$$
$$
3n = 42
$$
✔ Again, this matches the work in the image.
---
Step 3: Undo Multiplication or Division
Now, $ 3n $ means $ 3 \times n $. To solve for $ n $, divide both sides by 3:
$$
\frac{3n}{3} = \frac{42}{3}
$$
$$
n = 14
$$
---
✔ Final Answer:
$$
\boxed{n = 14}
$$
---
🔍 Verification:
Plug $ n = 14 $ back into the original equation:
$$
3(14 - 2) = 3(12) = 36
$$
✔️ Correct!
---
Summary of Steps:
1.
Distribute: $ 3(n - 2) = 3n - 6 $
2.
Add 6 to both sides: $ 3n = 42 $
3.
Divide by 3: $ n = 14 $
This follows the order:
→ Distributive property
→ Undo addition/subtraction
→ Undo multiplication/division
Perfect!
✔
Parent Tip: Review the logic above to help your child master the concept of solving equations using distributive property worksheet.
