To solve the equation \(-7 + a = 24\), we need to isolate the variable \(a\).

### Step-by-Step Solution:

1. Start with the given equation:
   \[
   -7 + a = 24
   \]

2. Add 7 to both sides to isolate \(a\):
   \[
   -7 + a + 7 = 24 + 7
   \]

3. Simplify both sides:
   \[
   a = 31
   \]

### Final Answer:
\(a = 31\)

Would you like more details or have any other questions?

### Related Questions:

1. How do you solve equations involving negative numbers?
2. What are the properties of equality used in solving equations?
3. How can you check if your solution to an equation is correct?
4. What are some examples of equations similar to \(-7 + a = 24\)?
5. How do you solve an equation with variables on both sides?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the linear equation -7 + a = 24 with a step-by-step solution. This problem introduces core algebra concepts, including linear equations and properties of equality. Suitable for students in Grades 6-8.

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