https://file.aiquickdraw.com/mathbot/file/1729146977347uq68yd1o.jpg

The equation in the image is:

\[
6d + 8 = 14 + 3d
\]

Let's solve this step by step:

1. First, move all the terms involving \( d \) to one side. Subtract \( 3d \) from both sides:

\[
6d - 3d + 8 = 14
\]

This simplifies to:

\[
3d + 8 = 14
\]

2. Next, subtract 8 from both sides to isolate the term with \( d \):

\[
3d = 14 - 8
\]

Simplifying the right side:

\[
3d = 6
\]

3. Finally, divide both sides by 3 to solve for \( d \):

\[
d = \frac{6}{3} = 2
\]

Thus, the solution is \( d = 2 \).

Would you like further details or have any questions about this solution?

Here are 5 questions to expand this concept:
1. How do you solve similar equations with variables on both sides?
2. What happens if the equation has no solution or infinite solutions?
3. How can we check if our solution to the equation is correct?
4. How do you handle equations with fractions or decimals?
5. What is the next step after solving a basic algebraic equation?

**Tip:** Always check your solution by substituting the value of the variable back into the original equation to ensure it holds true.

Learn how to solve the linear equation 6d + 8 = 14 + 3d with a detailed, step-by-step solution. This problem covers key algebra concepts for moving terms, simplifying, and solving for the variable. Suitable for Grades 6-8.

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