$$\frac { 9 w } { 7 } - 6 = \frac { 5 w } { 7 } + 12$$
$w = \frac{63}{2} = 31\frac{1}{2} = 31.5$
$$9w-42=5w+84$$
$$9w-42-5w=84$$
$$4w-42=84$$
$$4w=84+42$$
$$4w=126$$
$$w=\frac{126}{4}$$
$$w=\frac{63}{2}$$
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