You would probably say, "Ich werde nicht gehen." Werden means something like "to become" but it's also used like "will".
Be careful; it's irregular: http://www.verbix.com/webverbix/German/werden.html
Conjugate "werden" to match your pronoun / subject then end the sentence with the full form of your other verb.
That's German's Conjugation rules. If the noun is Sie, the the verb "gehe" will be conjugated to geht. If it's Wir, then it would be gehen. I may be wrong with the conjugation, though.