Question: What does it mean to come to the lesson with the intention to purify myself? How can I check if I truly have that intention?

Answer: Analyze what you were thinking about before the lesson.

Question: Is it possible that someone gets up for the lesson every day simply out of habit?

Answer: That is why you do not see serious results from your studies. Sit for a moment before the lesson and think about yourself, your state, and what lies ahead.

Gradually, you will see what thoughts, feelings, and requests you can bring to the Creator.

Question: But how can I check my focus on the request for purification? After all, a million different thoughts and requests can come up.

Answer: That is exactly why you should ask, in your own words.
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From the Daily Kabbalah Lesson 10/15/24, Writings of Rabash “According to the Sorrow Is the Reward”

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Coming To The Lesson With A Request For Life
Spiritual Energy Charge For The Whole Day
Preparation Is The Key To Success In The Study