To solve the subtraction problems given, we need to remember that subtracting a negative number is equivalent to adding the positive of that number. Therefore, for each expression, convert the subtraction of a negative number into an addition and then perform the arithmetic operation.
Step 1: Solve \( 3 - (-6) \)
To solve the expression \( 3 - (-6) \), we convert the subtraction of a negative number into addition:
\[
3 - (-6) = 3 + 6 = 9
\]
Step 2: Solve \( -4 - (-7) \)
Next, we solve the expression \( -4 - (-7) \) in a similar manner:
\[
-4 - (-7) = -4 + 7 = 3
\]
Final Answer
The results of the calculations are:
\[
\boxed{9} \quad \text{and} \quad \boxed{3}
\]