Linear nonhomogeneous recurrence relations with constant coefficients

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Find the general formula for: $$n a_n - (5n - 5)a_{n-1} = 0,\;a_1 = 10$$

Hello! I tried to rewrite the general term so I would have a homogeneous linear recursion and a polynomial, but I could't find a way to solve this. Could someone help me a little, please?