[tex]\huge\green{\boxed{\tt{x+2y-3z}}}[/tex]
Rewrite the division as a fraction.
[tex] \frac{2x + 4y - 6z}{2} [/tex]
Cancel the common factor of
[tex]{\green{\tt{2x+4y-6z\:and\:2.}}}[/tex]
[tex] \color{green}\frac{2(x) + (4y - 6z}{2} [/tex]
[tex] \color{green}\frac{2(x) + 2(2y) - 6z}{2} [/tex]
[tex]\color{green} \frac{2(x + 2y) + 2( - 3z)}{2} [/tex]
[tex] \color{green}\frac{2(x + 2y - 3z)}{2} [/tex]
Cancel the common factors.
[tex]\color{green}\frac{2(x + 2y - 3z)}{2} [/tex]
Cancel the common factors.
[tex]\color{green}\frac{2(x+2y-3z)}{2•1}[/tex]
[tex]\green{\cancel{\tt{2\:to\:fraction\:you\:see\:above.}}}[/tex]
[tex]\green{\cancel{\tt{2\:to\:fraction\:you\:see\:below.}}}[/tex]
[tex]\color{green}\frac{x + 2y - 3z}{ 1} [/tex]
Divide x + 2y-3z by 1.
[tex]{\green{\tt{x+2y-3z}}}[/tex]
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