A $1.8$ $kg$ mass connected to a horizontal spring of stiffness $1015$ $N/m$ has a dry-sliding friction force, of $1.4$ $N$. The mass is displaced from equilibrium. As the mass oscillates, its amplitude decreases a total of $0.1$ $m$ until it finally stops moving near equilibrium. Estimate the distance traveled by the mass. Give the answer in meters.

$d=$ $m$