General Approach to Solving Cryptarithms

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I have recently started honing my problem-solving skills, starting with number-related problems. Cryptarithms have appeared frequently, so I was wondering whether there is some sort of general approach to solving these problems? Such as a sequence of reproducible steps?

I understand that for easier examples, such as "AB + AB + AB = CB" , common sense can be used to recognise simple facts (in this case, B must be 0 or 5). However, for harder examples that involve multiple solutions or higher-digit numbers, I find myself struggling without making any progress.

Guidance on how to approach these problems would be much appreciated.