use the properties of operations to subtract (h + k) - (2k - h)
To subtract (h + k) - (2k - h), we distribute the negative sign to the second term inside the parentheses:
(h + k) - (2k - h) = h + k - 2k + h
Next, combine the like terms:
(h + k) - (2k - h) = (h + h) + (k - 2k)
Simplify further:
(h + k) - (2k - h) = 2h + (-k)
Finally, we can write the answer as:
(h + k) - (2k - h) = 2h - k