How to express that one equation (or inequality) is equal to another equation (or inequality)?

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How do we symbolically express that $a+b=c$ is equal to $a+d=n$? Do we put an equals sign between them, or else?

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Equality as a (binary) relation only makes sense for terms, ie, numbers, variables, functions applied to those, etc.

Equations are phrases/statements, composed of relations among terms, logical operations, quantifiers, etc., and as such we attribute truth-values to them; it wouldn't really make much sense to say they are equal.

What you're probably interested is in saying they are equivalent: one is true precisely when the other is true, the same for falsity.