Is there a VBA code to simplify (linear) algebraic expressions? (using text input)

As an example here's an input and desired output string:

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This type of problem can be probably done easily using matrices. However it would take quite a while to actually make the code and I think someone probably have made such code already because this is quite a general problem. I think a large part of the problem would be simply to convert the text to matrices.

Notes: In case existing programs don't deal with implicit multiplication or need the input to be in a slightly different format, I could just sort that out myself.

I know that some software exists to solve these type of problems, but I can't find an easy way for excel and other software to communicate.

That's symbolic algebra, which Excel doesn't do. You could write code to do so in VBA (or any other language), but it would be reinventing the wheel; dozens exist.

https://en.wikipedia.org/wiki/List_o...lgebra_systems

Simplifying (symbolic manipulation) and evaluating (substituting values for variables) are two different things.

For the first, you might look to find if any of those packages has a COM interface.

The second can be done with regular expressions, provided that the CAS can return expressions that Excel/VBA recognizes (e.g., no implicit multiplication), and agreement as to operator precedence (e.g., unary negation).