Combine 5/(a-7)+9/(7-a)

Math
5a-7+97-a
Rewrite 7 as -1(-7).
5a-7+9-1(-7)-a
Factor -1 out of -a.
5a-7+9-1(-7)-(a)
Factor -1 out of -1(-7)-(a).
5a-7+9-1(-7+a)
Simplify the expression.
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Move a negative from the denominator of 9-1(-7+a) to the numerator.
5a-7+-1⋅9-7+a
Reorder terms.
5a-7+-1⋅9a-7
5a-7+-1⋅9a-7
Combine the numerators over the common denominator.
5-1⋅9a-7
Simplify the numerator.
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Multiply -1 by 9.
5-9a-7
Subtract 9 from 5.
-4a-7
-4a-7
Move the negative in front of the fraction.
-4a-7
Combine 5/(a-7)+9/(7-a)

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