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500=100+7n-7
Use the distributive property to multiply n-1 by 7.
500=93+7n
Subtract 7 from 100 to get 93.
93+7n=500
Swap sides so that all variable terms are on the left hand side.
7n=500-93
Subtract 93 from both sides.
7n=407
Subtract 93 from 500 to get 407.
n=\frac{407}{7}
Divide both sides by 7.