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Turing Acceptable means Turing Recognizable. And Every Turing Decidable is Turing Recognizable.

Turing Acceptable simply  means that There is some TM for respective Language/Problem. So, If There is some Total TM(Halting TM) for that Language/Problem then We will say Turing Decidable.

Turing Decidable is Stronger Statement(When It is True)  than Turing Acceptable/ Turing Recognizable.
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