Let's solve the equation:

\[
-d + 5 + 7d + 4 = 24
\]

### Step 1: Combine like terms.
On the left-hand side, combine the terms involving \(d\) and the constants:
\[
(-d + 7d) + (5 + 4) = 6d + 9
\]
So the equation becomes:
\[
6d + 9 = 24
\]

### Step 2: Isolate the variable.
To isolate \(d\), subtract 9 from both sides:
\[
6d = 24 - 9
\]
\[
6d = 15
\]

### Step 3: Solve for \(d\).
Divide both sides by 6:
\[
d = \frac{15}{6} = 2.5
\]

Thus, the solution is:
\[
d = 2.5
\]

Would you like more details, or do you have any other questions?

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Here are 5 related questions to expand your understanding:

1. How would you solve \(2x - 3 + 5x + 7 = 20\)?
2. What happens when the variable terms have opposite signs, like in \(-2y + 5 + 3y - 1 = 10\)?
3. How do you handle equations where the variable appears on both sides of the equation?
4. Can you solve this equation with fractions: \(\frac{3}{4}d + 2 = \frac{5}{2}\)?
5. What is the next step if an equation simplifies to \(0 = 5\)?

**Tip:** Always combine like terms first to simplify the equation as much as possible before isolating the variable.

Learn how to solve the linear equation -d + 5 + 7d + 4 = 24 with a detailed step-by-step solution. This problem involves combining like terms and isolating the variable. Ideal for students in Grades 6-8 studying basic algebra.

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