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4h-5h-\left(-3\right)-\left(9-h\right)
To find the opposite of 5h-3, find the opposite of each term.
4h-5h+3-\left(9-h\right)
The opposite of -3 is 3.
-h+3-\left(9-h\right)
Combine 4h and -5h to get -h.
-h+3-9-\left(-h\right)
To find the opposite of 9-h, find the opposite of each term.
-h+3-9+h
The opposite of -h is h.
-h-6+h
Subtract 9 from 3 to get -6.
-6
Combine -h and h to get 0.