https://file.aiquickdraw.com/mathbot/file/17259903571571kll9975.jpg

The text extraction from the image was incomplete, so I'll manually interpret it based on what is visible.

The problem appears to be:

\[
\frac{a + 2}{11} = \frac{-3}{7}
\]

We are asked to solve for \( a \) and round the answer to the nearest tenth. Let's solve this step by step.

1. Start by cross-multiplying to eliminate the fractions:

\[
7(a + 2) = -3 \times 11
\]

2. Simplify both sides:

\[
7(a + 2) = -33
\]

3. Expand the left-hand side:

\[
7a + 14 = -33
\]

4. Isolate \( a \):

\[
7a = -33 - 14
\]
\[
7a = -47
\]

5. Solve for \( a \):

\[
a = \frac{-47}{7} = -6.714
\]

Rounding to the nearest tenth:

\[
a \approx -6.7
\]

Would you like further details on this solution?

Here are five related questions to deepen your understanding:

1. How do you handle cross-multiplication when solving equations with fractions?
2. What are the steps to isolate the variable in an equation?
3. Why is it important to follow the order of operations when solving algebraic equations?
4. How does rounding work, and why do we round to specific decimal places?
5. Can this method be applied to solve systems of linear equations?

**Tip:** When solving equations involving fractions, always cross-multiply carefully to avoid errors in simplification.

Solve for the variable: (a + 2) / 11 = -3 / 7. Round your answer to the nearest tenth.

Learn how to solve the linear equation (a + 2) / 11 = -3 / 7 using cross-multiplication. This problem is ideal for students in Grades 7-9, with a step-by-step solution and explanation.

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