Answer
No solution.
Work Step by Step
The given inequality is
$\Rightarrow -4(3n-1)\gt -12n+5.2$
Use distributive property.
$\Rightarrow -12n+4\gt -12n+5.2$
Subtract $4$ from each side.
$\Rightarrow -12n+4-4\gt -12n+5.2-4$
Simplify.
$\Rightarrow -12n\gt -12n+1.2$
Add $12n$ to each side.
$\Rightarrow -12n+12n\gt -12n+1.2+12n$
Simplify.
$\Rightarrow 0\gt 1.2$
The inequality is false.
Hence, there is no solution.