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1=a\times 4^{2}-1
Subtract 4 from 8 to get 4.
1=a\times 16-1
Calculate 4 to the power of 2 and get 16.
a\times 16-1=1
Swap sides so that all variable terms are on the left hand side.
a\times 16=1+1
Add 1 to both sides.
a\times 16=2
Add 1 and 1 to get 2.
a=\frac{2}{16}
Divide both sides by 16.
a=\frac{1}{8}
Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.