https://file.aiquickdraw.com/mathbot/file/1727794243240jxja59qe.jpg

The equation shown in the image is:

\[
\frac{3a + 3}{6} = 42
\]

### Step-by-Step Solution:

1. First, to eliminate the denominator (6), multiply both sides of the equation by 6:
   \[
   3a + 3 = 42 \times 6
   \]
   Simplifying the right-hand side:
   \[
   3a + 3 = 252
   \]

2. Next, subtract 3 from both sides to isolate the term with \( a \):
   \[
   3a = 252 - 3
   \]
   \[
   3a = 249
   \]

3. Finally, divide both sides by 3 to solve for \( a \):
   \[
   a = \frac{249}{3} = 83
   \]

### Final Answer:
\[
a = 83
\]

Do you have any questions or would you like further details? 

Here are some related questions:
1. How do you handle equations with variables in the denominator?
2. What happens if the equation involves fractions on both sides?
3. Can you solve for a different variable if the equation had more than one?
4. What if the equation had additional terms involving powers of \(a\)?
5. How do you check your answer in a solved equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it's correct!

What is the value of a in this equation (3a + 3) / 6 = 42?

Find the value of 'a' in the equation (3a + 3) / 6 = 42 using basic algebraic steps. This problem covers linear equations and is suitable for students in Grades 6-8.

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