https://file.aiquickdraw.com/mathbot/file/1726422268651rw3n42xn.jpg

The equation given in the image is:

\[
3(13d + 2) = 6
\]

Let's go through the steps to solve this equation.

### Step 1: Distribute the 3 on the left-hand side:
\[
3 \times 13d + 3 \times 2 = 6
\]
This simplifies to:
\[
39d + 6 = 6
\]

### Step 2: Subtract 6 from both sides:
\[
39d + 6 - 6 = 6 - 6
\]
This simplifies to:
\[
39d = 0
\]

### Step 3: Solve for \(d\) by dividing both sides by 39:
\[
d = \frac{0}{39}
\]
\[
d = 0
\]

So the solution is \(d = 0\).

Now, to complete the blanks in the image:

1. The missing description after **39d + 6 = 6** is **Subtract 6 from both sides**.
2. The missing description after **39d = 0** is **Divide both sides by 39**.
3. The value of \(d\) is \(0\).

Would you like more details or have any other questions?

Here are five related questions to expand your understanding:
1. What is the distributive property, and how does it work in algebra?
2. How do you solve a linear equation with a variable on both sides?
3. Can a linear equation have more than one solution?
4. How do you solve equations that contain fractions or decimals?
5. What are common mistakes when simplifying algebraic expressions?

**Tip:** Always remember to perform the same operation on both sides of an equation to maintain equality.

Solve the equation 3(13d + 2) = 6 by completing the steps and filling in the missing terms.

This page provides a step-by-step solution to the linear equation 3(13d + 2) = 6. It covers algebraic concepts, including the distributive property and solving linear equations. Perfect for students in Grades 7-9.

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