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Reacting to a 2d collision

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Hay, I've got 3 blocks. One is moveable with WASD and the other 2 are non-moveable. They all have bounding boxes and I've programmed it so that when 2 shapes intersects the moveable block gets moved back based on the width and height of the intersection. This works perectly, but only if collides with 1 block.

I hold the 2 non-moveable blocks inside a vector, then I'm looping through the vector and checking the collisions.

I've got 3 images to illustrate my problem.

This shows the layout, the red block is moveable, basically I'm going to be heading in an up-left direction. Holding the W and A keys.

This shows that the blocks collide correctly at this point, I am still holding W and A at this point.
I am continuing to hold W and A but the red block no longer heads in that direction. It gets stuck here. The problem, i think, is that the 2 green blocks are arguing with repositioning the red block based on the intersection.

How do I deal with this? Is there any example code I can look at to help me with this problem?

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