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-v+1-8v=1
Subtract 8v from both sides.
-v-8v=1-1
Subtract 1 from both sides.
-v-8v=0
Subtract 1 from 1 to get 0.
-9v=0
Combine -v and -8v to get -9v.
v=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -9 is not equal to 0, v must be equal to 0.