The mass is "equal" to the weight ONLY under 1G.so the mass is always equal to the weight
One more time: on Earth (under 1G) there isn't any "real difference".for example I have 9.81n I know i have 1kg, I can not see how there is any real difference, to me I see the exact same thing.
Elsewhere the difference is CRITICAL.
That's why physics (and the equations thereof) use MASS and not weight. Otherwise those equations wouldn't have the applicability that they do - they'd have to be adjusted for different locations/ conditions.