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6\left(m+2\right)=16
Multiply both sides of the equation by 18, the least common multiple of 3,18.
6m+12=16
Use the distributive property to multiply 6 by m+2.
6m=16-12
Subtract 12 from both sides.
6m=4
Subtract 12 from 16 to get 4.
m=\frac{4}{6}
Divide both sides by 6.
m=\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.