https://file.aiquickdraw.com/mathbot/file/1727266348245y21xbufo.jpg

The equation from your image is:

\[
8.5 = 6.5(2d - 3) + d
\]

Let's solve it step by step:

### Step 1: Distribute the \(6.5\) on the right-hand side.
\[
8.5 = 6.5 \times 2d - 6.5 \times 3 + d
\]
\[
8.5 = 13d - 19.5 + d
\]

### Step 2: Combine like terms.
\[
8.5 = 14d - 19.5
\]

### Step 3: Add \(19.5\) to both sides to isolate the \(d\)-terms on the right.
\[
8.5 + 19.5 = 14d
\]
\[
28 = 14d
\]

### Step 4: Divide both sides by 14.
\[
d = \frac{28}{14}
\]
\[
d = 2
\]

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

Would you like more details or have any further questions? Here are five related questions that build on this concept:

1. How do you solve equations with multiple variables?
2. What happens if the equation has no solutions or infinitely many solutions?
3. How can you check if your solution is correct by substitution?
4. What are some examples of equations with fractional coefficients?
5. How can you apply this method to solve word problems?

**Tip:** Always simplify the equation step by step, keeping track of operations on both sides.

Learn how to solve the linear equation 8.5 = 6.5(2d - 3) + d using the distributive property and combining like terms. This step-by-step solution is ideal for students in Grades 7-9, covering key algebraic concepts.

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