v = -10
explanation
–10 + 6v = 10 + 8v
add 10 to both sides
-10 + 10= 0 10 + 10 = 20
this gives you
6v = 8v + 20
subtract 8v from both sides
6v-8v= -2v 8v-8v = 0
this gives you
-2v = 20
divide both sides by -2
-2v/-2 = v 20/-2 = -10
in the end you get
v = -10