Mathematica: Generating all expressions of the form $a*x + b*y + c*z$ where $a,b,cin -1,0,1$

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Generating all expressions of the form $a*x + b*y + c*z$ where $a,b,cin -1,0,1$
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(mathematica.stackexchange.com/users/49075/phy-math)phy_math
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