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I have chosen four integers a,b,c,{\color{#D61F06}a}, {\color{#3D99F6}b}, {\color{#20A900}c},a,b,c, and d{\color{#69047E}d}d so that all five of the following sums are values divisible by 3:
Are b,{\color{#3D99F6}b},b, c,{\color{#20A900}c},c, and d{\color{#69047E}d}d also guaranteed to be divisible by 3?
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