$\displaystyle \textrm{I\; am\; trying\; to\; learn\; modular\; arithmetic,\; and\; this\; right \; here\; stumped\; me.}$

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10\cdot(-13)+27\cdot 6\equiv-122\mathrm{mod}2$

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\textrm{I\; thought\; It\; would\; go\; like\; this:}$

$\displaystyle 10\cdot(-13)+27\cdot 6\; \; \; \textrm{Can be reduced to in mod}2$

$\displaystyle 0\cdot(1)+1\cdot 0=0\mathrm{mod}2$

$\displaystyle \textrm{Please explain this to me someone}$