# Integer Equations

$\color{#3D99F6}{x},$ $\color{#D61F06}{y},$ and $\color{#20A900}{z}$ are integers, and $\color{#3D99F6}{x}\color{#D61F06}{y}\color{#20A900}{z}=10.$ What is the maximum possible value of $\color{#3D99F6}{x}+\color{#D61F06}{y}+\color{#20A900}{z}?$

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