In 30 years, you want to retire. You can invest money each month at 6% interest

In 30 years, you want to retire. You can invest money each month at 6% interest compounded monthly over the next 30 years. In 30 years, you will take all the money you invested and put it into an account earning 8% compounded monthly. Then you will start taking our $2000 a month for the next 15 years until your account runs out of money.
How much do you need to invest each month over the next 30 years?

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