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Let y = mx + c, m gt 0 be the focal chor...

Let y = mx + c, m `gt 0` be the focal chord of `y^(2) = - 64 x`, which is tangent to `(x + 10)^(2) + y^(2) = 4`. Then the value of `4sqrt(2)` (m + c) is equal to _______ .

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