Arithmetic Mean Calculation:
To find two arithmetic means between -6 and 14, we first need to calculate the common difference between the given numbers and then divide it by the number of arithmetic means we want to find.

Step 1: Calculate the Common Difference:
Common difference = (14 - (-6)) = 20

Step 2: Divide the Common Difference by the Number of Arithmetic Means:
Since we want to find two arithmetic means, we divide the common difference by 3 (2 arithmetic means + 1 original number).
Common difference / 3 = 20 / 3 = 6.67

Step 3: Find the Arithmetic Means:
To find the first arithmetic mean, we add the common difference to the first number:
First Arithmetic Mean = -6 + 6.67 = 0.67
To find the second arithmetic mean, we add the common difference to the first arithmetic mean:
Second Arithmetic Mean = 0.67 + 6.67 = 7.34
Therefore, the two arithmetic means between -6 and 14 are 0.67 and 7.34. These values are evenly spaced between the given numbers and maintain a constant difference between each other.