Как расторгнуть договор, не выплачивая неустойку?

Здравствуйте.

Все зависит от условий договора, по общим положениям законодательства Вы вправе отказаться от услуг исполнителя, при этом обязаны оплатить лишь фактически понесенные им расходы, которые он обязан подтвердить документально.

Согласно постановлению Правительства РФ

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22. В случае отказа потребителя после заключения договора от получения медицинских услуг договор расторгается. Исполнитель информирует потребителя (заказчика) о расторжении договора по инициативе потребителя, при этом потребитель (заказчик) оплачивает исполнителю фактически понесенные исполнителем расходы, связанные с исполнением обязательств по договору.