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The problem here might be that Sage doesn't know whether your variables are positive or negative. If you don't make more assumptions there may be no way to solve the inequality symbolically.

It looks like in your inequality, the solution would strongly depend on whether (2*d*m - e + w) is positive or negative, and also whether d is positive or negative.

Try looking at the documentation for the function solve_ineq which uses Maxima to solve single inequalities in one variable or systems of inequalities in several variables.