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3\times 100=M\times 0.5
Variable M cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3M, the least common multiple of M,3.
300=M\times 0.5
Multiply 3 and 100 to get 300.
M\times 0.5=300
Swap sides so that all variable terms are on the left hand side.
M=\frac{300}{0.5}
Divide both sides by 0.5.
M=\frac{3000}{5}
Expand \frac{300}{0.5} by multiplying both numerator and the denominator by 10.
M=600
Divide 3000 by 5 to get 600.