When i try to update ubuntu i get the next error, how do i solve it? :

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This answer assumes that you have a separate boot partition.
The Update is asking for more space in boot partition.
Your screenshot is giving the details of root partition.
How to solve?
Install GParted (Available in Software Centre).
You will be able to see detailed information about the partition sizes using GParted.
It has a nice Graphical Interface that will let you compress or expand the partitions as per your need.

Note: You need free-space on either side of a partition to expand it.
If you don't have free space, you will have to compress the nearby partition to expand it.
Check out detailed tutorial on GParted here.

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