The given inequality is
-3v - 14 > 3v + 16,
Add 3v on both side of the inequality
-3v -14 +3v > 3v +16 +3v
-3v +3v -14 > 3v + 3v + 16
0 - 14 > 6v + 16
Subtract 16 from both side of the equation,
-14 - 16 > 6v + 16 - 16
-30 > 6v + 0
Now subtract 6v from both side,
-30- 6v > 6v - 6v
-6v -30 > 0
Add 30 on both side,
-6v -30 + 30 > 30
-6v > 30
Divide both side by 6:
-6v/6 > 30/6
-v > 5
Multiply both side by (-1)
(-1) (-v) < (-1) 5
v < -5
Thus, v < -5
Answer : v < -5
