Let n represent the number.
.. -13n -60 = n -(-59)
.. -14n = 119
.. n = -8.5
The number is -8.5.
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Check
.. -13 times the number is 110.5
.. 60 less than that is 50.5
.. -59 less than the number is 8.5 -(-59) = 50.5.
.. 50.5 = 50.5, so the answer meets the problem requirements.