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Let a line with direction ratios a, -4a, -7 be perpendicular to the lines with direction ratios 3, -1, 2b and b, a, -2. If the point of intersection of the line x + 1 / a2 + b= y - 2 / a2 - b2 = z/1 and the plane x – y + z = 0 is (α, β, γ), then α + β + γ is equal to _____.

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