$$\frac { m } { 10 } = \frac { 3 } { 7 } ( m + 14 )$$
$m = -\frac{420}{23} = -18\frac{6}{23} \approx -18.260869565$
$$7m=30\left(m+14\right)$$
$$7m=30m+420$$
$$7m-30m=420$$
$$-23m=420$$
$$m=\frac{420}{-23}$$
$$m=-\frac{420}{23}$$
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