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A little bit of basic algebra, and knowing the definition of a mean, helps. Example for three numbers:

Average of 6, 8, and x is 10.

By the definition of average, solve the equation: (6 + 8 + x) / 3 = 10.

(6 + 8 + x) / 3 = 10

6 + 8 + x = 30

14 + x = 30

x = 16

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