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10500\times 20=m\times 21\times 20+\left(m-50\right)\times 336
Multiply 250 and 42 to get 10500.
210000=m\times 21\times 20+\left(m-50\right)\times 336
Multiply 10500 and 20 to get 210000.
210000=m\times 420+\left(m-50\right)\times 336
Multiply 21 and 20 to get 420.
210000=m\times 420+336m-16800
Use the distributive property to multiply m-50 by 336.
210000=756m-16800
Combine m\times 420 and 336m to get 756m.
756m-16800=210000
Swap sides so that all variable terms are on the left hand side.
756m=210000+16800
Add 16800 to both sides.
756m=226800
Add 210000 and 16800 to get 226800.
m=\frac{226800}{756}
Divide both sides by 756.
m=300
Divide 226800 by 756 to get 300.