Spivak's Calculus on Manifolds 4-34 Homotopy and boundaries

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I'm trying to do part a. So far, I've tried rearranging the equalities, but nothing seems to pop out. I think I have to use the definition of a boundary of a manifold and let some x be in the boundary and show it agrees with the definition, but I don't know how to do that. any help would be appreciated