We are solving the equation:

\[
-9d + 12d = 15
\]

1. First, combine like terms on the left-hand side:

\[
(-9d + 12d) = 3d
\]

Now the equation is:

\[
3d = 15
\]

2. To solve for \( d \), divide both sides by 3:

\[
d = \frac{15}{3} = 5
\]

Thus, the solution is \( d = 5 \).

Would you like more details or have any questions? Here are some related problems:

1. Solve for \( d \): \( -7d + 10d = 12 \)
2. Solve for \( x \): \( -5x + 8x = 20 \)
3. Solve for \( m \): \( -12m + 15m = 45 \)
4. Solve for \( y \): \( -3y + 6y = 9 \)
5. Solve for \( p \): \( -8p + 11p = 22 \)

**Tip**: Always simplify expressions by combining like terms before solving for the variable.

Learn how to solve the linear equation -9d + 12d = 15 by combining like terms and simplifying the equation. This problem covers basic algebraic concepts suitable for students in Grades 6-8.

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