Samantha is a landscape designer. She is working on a project where she needs to plant 3 different types of trees in a park. She has calculated that she needs 4 times as many maple trees as oak trees and 2 fewer birch trees than oak trees. If she plants a total of 58 trees, how many trees of each type will she plant? Let's think step by step and output the final answer within \boxed{}.
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