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5\times 2m-3m=105
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10m-3m=105
Multiply 5 and 2 to get 10.
7m=105
Combine 10m and -3m to get 7m.
m=\frac{105}{7}
Divide both sides by 7.
m=15
Divide 105 by 7 to get 15.