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Sighing heavily, Melody tried to summon the energy to get to her next class her heavy book bag and the long walk, however, seemed impossible challenges.
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Sighing heavily, Melody tried to summon the energy to get to her next class; her heavy book bag and the long walk, however, seemed impossible challenges.

Melody tried to summon the energy to get to her next class is a main clause. Her heavy book bag and the long walk, however, seemed impossible challenges is a second main clause.

A semicolon is an excellent way to join two main clauses that are closely related in meaning.

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