Oh variables

Algebra Level 2

xxz+zyz \large \frac{\color{#D61F06}{x}}{\color{#D61F06}{x}-\color{#3D99F6}{z}} + \frac{\color{#3D99F6}{z}}{\color{#D61F06}{y}-\color{#3D99F6}{z}}

If x+y=2z\color{#D61F06}{x} + \color{#D61F06}{y} = 2\color{#3D99F6}{z} and xz,\color{#D61F06}{x} \ne \color{#3D99F6}{z}, find the value of the expression above.

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