More Partially Magic Squares

The answers for this week overlap with those of last week. There are only a handful of solutions.

Place 9 of the numbers 0-9 into a 3x3 grid, such that the four sides and the two diagonals each have the same sum. What is the number in the center of the grid for each sum?

Source: Bob Odineal (solver from last week.)

Kirk Bresniker found all solutions: 
Using 9 of the 10 digits from 0-9, here's what I found:

sum = 9, center = 6 
0 7 2
8 6 4
1 5 3
sum = 10, center = 7 
0 8 2
9 7 5
1 6 3
sum = 11, center = 5 
0 7 4
9 5 1
2 3 6
sum = 12, center = 4 
1 6 5
8 4 0
3 2 7
sum = 12, center = 5 
0 8 4
9 5 1
3 2 7
sum = 12, center = 7 
1 8 3
9 7 5
2 6 4
sum = 15, center = 2 
5 3 7
4 2 0
6 1 8
sum = 15, center = 4 
2 7 6
8 4 0
5 1 9
sum = 15, center = 5 
2 7 6
9 5 1
4 3 8
sum = 16, center = 4 
3 6 7
8 4 0
5 2 9
sum = 17, center = 2 
6 3 8
4 2 0
7 1 9
sum = 18, center = 3 
6 4 8
5 3 1
7 2 9
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