Solve for h_0
h_{0}=5t^{2}-tv_{0}+h
Solve for h
h=h_{0}+tv_{0}-5t^{2}
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h_{0}+v_{0}t-5t^{2}=h
Swap sides so that all variable terms are on the left hand side.
h_{0}-5t^{2}=h-v_{0}t
Subtract v_{0}t from both sides.
h_{0}=h-v_{0}t+5t^{2}
Add 5t^{2} to both sides.
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