If 2a + 2b = 13, 2b + 2c = 19, and 2a + 2c = 8, then a + b + c =

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If 2<em>a</em> + 2<em>b</em> = 13, 2<em>b</em> + 2<em>c</em> = 19, and 2<em>a</em> + 2<em>c</em> = 8, then <em>a</em> + <em>b</em> + <em>c</em> =