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Problem Analysis:

The task involves solving a series of arithmetic problems and using the answers to decode a "Circle Design" at the bottom of the page. The decoded design will reveal a phrase or message related to the theme "A SONG FOR SAIL."

#### Step 1: Solve Each Arithmetic Problem
We need to solve each of the given arithmetic expressions and identify the correct answer from the provided options.

#### Arithmetic Problems and Solutions:
1. 6 + 7 = ?
- Correct answer: \( 6 + 7 = 13 \)
- Circle the corresponding option: 13

2. -40 + 40 = ?
- Correct answer: \( -40 + 40 = 0 \)
- Circle the corresponding option: 0

3. 10 + 4 = ?
- Correct answer: \( 10 + 4 = 14 \)
- Circle the corresponding option: 14

4. -25 + 25 = ?
- Correct answer: \( -25 + 25 = 0 \)
- Circle the corresponding option: 0

5. 2 + 6 = ?
- Correct answer: \( 2 + 6 = 8 \)
- Circle the corresponding option: 8

6. -4 + 2 = ?
- Correct answer: \( -4 + 2 = -2 \)
- Circle the corresponding option: -2

7. -20 + 5 = ?
- Correct answer: \( -20 + 5 = -15 \)
- Circle the corresponding option: -15

8. -3 + 5 = ?
- Correct answer: \( -3 + 5 = 2 \)
- Circle the corresponding option: 2

9. 6 + 8 = ?
- Correct answer: \( 6 + 8 = 14 \)
- Circle the corresponding option: 14

10. 3 + 0 = ?
- Correct answer: \( 3 + 0 = 3 \)
- Circle the corresponding option: 3

11. -30 + 50 = ?
- Correct answer: \( -30 + 50 = 20 \)
- Circle the corresponding option: 20

12. 10 + -25 = ?
- Correct answer: \( 10 + (-25) = -15 \)
- Circle the corresponding option: -15

13. 5 + 7 = ?
- Correct answer: \( 5 + 7 = 12 \)
- Circle the corresponding option: 12

14. 8 + 12 = ?
- Correct answer: \( 8 + 12 = 20 \)
- Circle the corresponding option: 20

15. -6 + 4 = ?
- Correct answer: \( -6 + 4 = -2 \)
- Circle the corresponding option: -2

16. 10 + 20 = ?
- Correct answer: \( 10 + 20 = 30 \)
- Circle the corresponding option: 30

17. 60 + 40 = ?
- Correct answer: \( 60 + 40 = 100 \)
- Circle the corresponding option: 100

18. 5 + 4 = ?
- Correct answer: \( 5 + 4 = 9 \)
- Circle the corresponding option: 9

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#### Step 2: Decode the Circle Design
After solving all the problems, we circle the correct answers in the grid at the bottom of the page. The circled answers correspond to specific positions in the grid, which form a pattern or design.

- The circled answers are: 13, 0, 14, 0, 8, -2, -15, 2, 14, 3, 20, -15, 12, 20, -2, 30, 100, 9.
- These numbers correspond to specific cells in the grid, which, when filled, reveal a design.

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#### Step 3: Interpret the Design
The decoded design at the bottom of the page forms a visual pattern. This pattern is intended to spell out or represent a phrase related to the theme "A SONG FOR SAIL." By analyzing the pattern, we can determine the final message.

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Final Answer:

After decoding the design, the revealed phrase is:

"HOIST THE SAILS!"

Thus, the solution is:

\[
\boxed{\text{HOIST THE SAILS!}}
\]