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500=100+8n-8
Use the distributive property to multiply n-1 by 8.
500=92+8n
Subtract 8 from 100 to get 92.
92+8n=500
Swap sides so that all variable terms are on the left hand side.
8n=500-92
Subtract 92 from both sides.
8n=408
Subtract 92 from 500 to get 408.
n=\frac{408}{8}
Divide both sides by 8.
n=51
Divide 408 by 8 to get 51.