Prove or Disprove: for All Integers$$a , b , c , \text { if } a \mid c \text { and } b \mid c , \text { then } ( a + b ) \mid c$$

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The Answer of Prove or Disprove: for All Integers$$a , b , c , \text { if } a \mid c \text { and } b \mid c , \text { then } ( a + b ) \mid c$$

Prove or Disprove: for All Integers $a , b , c , \text { if } a \mid c \text { and } b \mid c , \text { then } ( a + b ) \mid c$