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I think so. I'm not a physics expert but see if this makes sense to you.

Force = mass * acceleration

double the mass and you get

Force = 2 * mass * acceleration

double the force with double the mass and you get

2 * Force = 2 * mass * acceleration

using simple division math you cancel the 2's which results in

Force = mass * acceleration

So I think it would be the same acceleration.

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