Solve for a
a=\frac{7}{25}=0.28
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1600=25\left(\frac{39\times 39}{25}+25\right)-50\times 39a
Multiply both sides of the equation by 25.
1600=25\left(\frac{1521}{25}+25\right)-50\times 39a
Multiply 39 and 39 to get 1521.
1600=25\left(\frac{1521}{25}+\frac{625}{25}\right)-50\times 39a
Convert 25 to fraction \frac{625}{25}.
1600=25\times \frac{1521+625}{25}-50\times 39a
Since \frac{1521}{25} and \frac{625}{25} have the same denominator, add them by adding their numerators.
1600=25\times \frac{2146}{25}-50\times 39a
Add 1521 and 625 to get 2146.
1600=2146-50\times 39a
Cancel out 25 and 25.
1600=2146-1950a
Multiply 50 and 39 to get 1950.
2146-1950a=1600
Swap sides so that all variable terms are on the left hand side.
-1950a=1600-2146
Subtract 2146 from both sides.
-1950a=-546
Subtract 2146 from 1600 to get -546.
a=\frac{-546}{-1950}
Divide both sides by -1950.
a=\frac{7}{25}
Reduce the fraction \frac{-546}{-1950} to lowest terms by extracting and canceling out -78.
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