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-750\times 6A=\left(A-3000\right)\times 3000
Variable A cannot be equal to 3000 since division by zero is not defined. Multiply both sides of the equation by 3750\left(A-3000\right), the least common multiple of 15000-5A,3750.
-4500A=\left(A-3000\right)\times 3000
Multiply -750 and 6 to get -4500.
-4500A=3000A-9000000
Use the distributive property to multiply A-3000 by 3000.
-4500A-3000A=-9000000
Subtract 3000A from both sides.
-7500A=-9000000
Combine -4500A and -3000A to get -7500A.
A=\frac{-9000000}{-7500}
Divide both sides by -7500.
A=1200
Divide -9000000 by -7500 to get 1200.