v = 1
explanation:
-22 + 8v = 7(4v - 6)
distribute 7 into 4v - 6
-22 + 8v = 28v - 42
subtract 8v from both sides
-22 = 20v - 42
add 42 to both sides
20 = 20v
divide by 20 on both sides
1 = v