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Peterson's 2018 salary was $11M, so $5.5M left after week-8. If the Cards would be willing to whittle that down to around $2.5M by converting salary to signing bonus, it might be doable. If the Pats throw Rowe into the trade, that cuts the net cap hit by about another $500k (and clears the roster spot).
Salaries are broken down into 17 payments, not 16. It would be 9 payments remaining.
$11M / 17 = $647058.82/ week
9 weeks = $5,823,529
Unless @Miguel says otherwise, I believe that the Patriots could re-do the contract by giving him a $4M SB and treating the rest as salary.