Answer
$a=8$
Work Step by Step
We start with the given equation: $3a+2-5a=-14$
We start by subtracting $2$ from each side of the equation: $3a-5a+2-2=-14-2$
Next, we combine all of the like terms: $-2a=-16$
Finally, we divide both sides by $-2$: $a=\frac{-16}{-2}=8$