Let's solve the equation:

\[
6d - \frac{11}{2} = 2d - \frac{13}{2}
\]

### Step 1: Move all terms with \( d \) to one side
Subtract \( 2d \) from both sides:

\[
6d - 2d - \frac{11}{2} = - \frac{13}{2}
\]

\[
4d - \frac{11}{2} = - \frac{13}{2}
\]

### Step 2: Move constants to the other side
Add \( \frac{11}{2} \) to both sides:

\[
4d = - \frac{13}{2} + \frac{11}{2}
\]

### Step 3: Simplify the constants on the right side
\[
4d = \frac{-13 + 11}{2} = \frac{-2}{2} = -1
\]

### Step 4: Solve for \( d \)
Divide both sides by 4:

\[
d = \frac{-1}{4}
\]

So, the solution is:
\[
d = -\frac{1}{4}
\]

Would you like more details or have any questions?

Here are 5 related questions you can try:
1. Solve \( 5x - \frac{7}{2} = 3x - \frac{9}{2} \).
2. Solve \( 4p - \frac{5}{3} = 2p + \frac{7}{3} \).
3. Solve \( 8k - \frac{12}{5} = 3k - \frac{9}{5} \).
4. What is the general method to solve linear equations with fractions?
5. Solve \( 9m - \frac{15}{4} = 2m + \frac{7}{4} \).

**Tip**: When solving equations with fractions, it often helps to eliminate fractions by multiplying both sides by the least common denominator (LCD).

Learn how to solve the linear equation 6d - 11/2 = 2d - 13/2 step by step. This solution covers essential algebraic concepts, including operations with fractions and moving terms in an equation. Suitable for students in Grades 6-8.

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