The instruction manual. :wink: For the basics I guess you can try the tutorial, but the only way to understand the intricacies is to play lots of games with lots of different leaders.
I'll try to help you with your specific question. Depending what tiles each city is working (indicated by the green face in a circle) or specialists you are running (certain buildings can allow you to use citizens as specialists), your city will produce an amount of hammers (production, used to build things), gold (used for anything), food (used to grow the city), culture (used to expand borders and get social policies), and science (the lifeblood of civ 5; used to research). Also, some buildings either give you a flat bonus (granary gives +2 food) or a percentage increase (university gives 33% science bonus). At the end of the day, production is king, so you should try to focus on getting each cities' hammers as high as possible.
The one thing I find about Civ V is the fact that it is the most forgiving civilization I've played (I've played 3-5), mostly because you can quick buy units. Someone invading you? Buy some archers. If you got surprise attacked in another game and caught with your pants down, you could lose a few cities. It certainly isn't the best civilization; 4 takes that hands down; but it is fun nonetheless.

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