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This equation shows how the number of cakes Maddie can bake is related to the number of additional sticks of butter she buys.$\newline$$c = s + 5$$\newline$The variable $s$ represents the number of additional sticks of butter Maddie buys, and the variable $c$ represents the total number of cakes she can bake. With $15$ additional sticks of butter, how many total cakes can Maddie bake?$\newline$_____ cakes