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x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z)

I know this problem requires Lagrange multipliers. I assume that x^2 + y^2 + z^2 is the f(x,y,z) that I want to maximize and I think that 2x + 4y + 6z = -136 is my g(x,y,z)=k? Beyond that, I can't figure out how to work with the inequality or incorporate the sphere passing through the points... Thanks for any help!