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The systems modeling technique is used for developing an abstract model to help analyze and understand the functionality of a system. In this paper, we introduce a new approach for general-purpose systems modeling called structure-behavior coalescence (SBC), which supports the integration of modeling both structural and behavioral aspects of a system in a single diagram. Process algebra is utilized to describe the interactions between the components of the system. SBC combines graphical notation and process algebra to provide formalism and an intuitive representation in the development of the conceptual model. The SBC model can clearly describe the interactions between system components and precisely specify the execution order of an entire system via algebraic operations.