Let's solve the equation:

\[
-10d - 12 - 19 = -d + 14
\]

### Step 1: Simplify both sides of the equation
Combine the constants on the left-hand side:

\[
-10d - 31 = -d + 14
\]

### Step 2: Move all terms involving \( d \) to one side of the equation
Add \( 10d \) to both sides to eliminate the \( d \) term on the left-hand side:

\[
-31 = 9d + 14
\]

### Step 3: Move the constants to the other side
Subtract 14 from both sides:

\[
-31 - 14 = 9d
\]

Simplify:

\[
-45 = 9d
\]

### Step 4: Solve for \( d \)
Divide both sides by 9:

\[
d = \frac{-45}{9} = -5
\]

### Final Answer
\[
d = -5
\]

Would you like more details on any of these steps, or do you have any questions?

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Here are 5 related questions you might find interesting:

1. How would you solve \( 3x - 7 = 2x + 5 \)?
2. What happens if you add the same term to both sides of an equation?
3. How can you check if your solution to an equation is correct?
4. What are the steps to solve the equation \( 2y - 4 = 10 - y \)?
5. How do you solve equations with variables on both sides?

**Tip:** Always remember to simplify the equation as much as possible before solving for the variable.

Learn how to solve the linear equation –10d–12–19=–d+14 with a step-by-step solution. This problem covers key algebraic concepts and properties of equality, suitable for students in Grades 6-8.

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