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Please explain when to use the verbs will and do in the negative form.
Comments  
WILL is normally use for future. You can say;
I will not (won't) be here tomorrow.

DO is for plural noun. You can say;
They don't go to movie.

and also you can use DO with I.
I don't go to movie. I go to school.
Actually, you wouldn't say "I don't go to the movie." Because the singular implies a specific movie, you might use the past tense: "I didn't go to the movie." But the present tense in English is reserved for habitual action and/or the narrative present (normally reserved for literary journalism and fiction). So, you would say, "I don't go to the movies." "I go to school," is correct because of its nature as habitual action.