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If $a=b$ and $b=c,$ then $a=c.$
This property can be used together with other Properties of Equality to solve equations. \begin{gathered} \begin{cases} x = {\color{#0000FF}{5y-30}} \\ {\color{#0000FF}{5y-30}} = 20 \end{cases} \quad \Rightarrow \quad \begin{aligned} x &=20 \end{aligned} \end{gathered} The Transitive Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers.