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m = 7
Explanations:From the image provided:
AB = 9m + 10
BC = 12m - 11
Since B is the midpoint of AC, it means that:
AB = BC
9m + 10 = 12m - 11
Collect like terms
12m - 9m = 10 + 11
3m = 21
m = 21/3
m = 7