The distributive law is a fundamental property of binary operations that states if an operation is applied to a sum, it can be distributed across the terms of the sum. In algebraic terms, for any elements a, b, and c, this law can be expressed as: $$a \cdot (b + c) = (a \cdot b) + (a \cdot c)$$. This law helps in simplifying expressions and solving equations, serving as a crucial tool in equational logic and understanding the behavior of binary operations.
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