**Solution:**

We are given that x = 2 and y = -2 is a solution of the equation 3x - 2y = k.

To find the value of k, we substitute the given values of x and y into the equation and solve for k.

Substituting x = 2 and y = -2 into the equation 3x - 2y = k, we have:

3(2) - 2(-2) = k

Simplifying the expression, we get:

6 + 4 = k

10 = k

Therefore, the value of k is 10.

**Explanation:**

To find the value of k, we substitute the given values of x and y into the equation and solve for k.

1. Given equation: 3x - 2y = k
2. Substitute x = 2 and y = -2 into the equation: 3(2) - 2(-2) = k
3. Simplify the expression: 6 + 4 = k
4. Evaluate the expression: 10 = k
5. Therefore, the value of k is 10.

The given equation is a linear equation in two variables (x and y) and represents a straight line. By substituting the values of x and y into the equation, we can determine if they satisfy the equation or not.

In this case, when x = 2 and y = -2, we substitute these values into the equation and simplify the expression. The result is 10 = k, indicating that the given values of x and y satisfy the equation when k is equal to 10.

By substituting different values of x and y into the equation, we can find other solutions and corresponding values of k.