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Because of Newton's 3rd law, if you push on a wall with, let's say, 10 N, the wall will, by definition of the law, push back on you with 10N. The forces are balanced and you don't move backwards because the forces "cancel out" because they are equal and opposite, and if Fnet=0, we now acceleration must be 0.

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Q: Why don't you move when you push on a sturdy wall?
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