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Solve for m
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5m-3.5=3.2m+7
Use the distributive property to multiply 2 by 1.6m+3.5.
5m-3.5-3.2m=7
Subtract 3.2m from both sides.
1.8m-3.5=7
Combine 5m and -3.2m to get 1.8m.
1.8m=7+3.5
Add 3.5 to both sides.
1.8m=10.5
Add 7 and 3.5 to get 10.5.
m=\frac{10.5}{1.8}
Divide both sides by 1.8.
m=\frac{105}{18}
Expand \frac{10.5}{1.8} by multiplying both numerator and the denominator by 10.
m=\frac{35}{6}
Reduce the fraction \frac{105}{18} to lowest terms by extracting and canceling out 3.