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3.5=A\times 250-15000-A\times 150
To find the opposite of 15000+A\times 150, find the opposite of each term.
3.5=A\times 250-15000-150A
Multiply -1 and 150 to get -150.
3.5=100A-15000
Combine A\times 250 and -150A to get 100A.
100A-15000=3.5
Swap sides so that all variable terms are on the left hand side.
100A=3.5+15000
Add 15000 to both sides.
100A=15003.5
Add 3.5 and 15000 to get 15003.5.
A=\frac{15003.5}{100}
Divide both sides by 100.
A=\frac{150035}{1000}
Expand \frac{15003.5}{100} by multiplying both numerator and the denominator by 10.
A=\frac{30007}{200}
Reduce the fraction \frac{150035}{1000} to lowest terms by extracting and canceling out 5.