\"\"\"\"\"\"

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Let \"\" represent the least consecutive odd integer.

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The next greater consecutive odd integer \"\".

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The greatest of the three odd integers \"\".

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The sum of three consecutive odd integers is 51.

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Write an equation for the current situation.

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\"\"

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\"\"

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\"\"                                     (Combine like terms)

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According to subtraction property of equality: Subtract 6 from each side.

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\"\"

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\"\"                      (Apply additive inverse property: \"\")

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\"\"                                     (Apply additive identity property: \"\")

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\"\"                                             (Subtract: \"\")

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\"\"

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According to division property of equality: Divide each side by 3.

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\"\"

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\"\"                                 (Cancel common terms)

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\"\"                                    (Divide: \"\")

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\"\"

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\"\"

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The three consecutive odd integers are 15, 17 and 19.

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\"\"

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The three consecutive odd integers are 15, 17 and 19.