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-21=-\frac{7}{9}w
Fraction \frac{-7}{9} can be rewritten as -\frac{7}{9} by extracting the negative sign.
-\frac{7}{9}w=-21
Swap sides so that all variable terms are on the left hand side.
w=-21\left(-\frac{9}{7}\right)
Multiply both sides by -\frac{9}{7}, the reciprocal of -\frac{7}{9}.
w=\frac{-21\left(-9\right)}{7}
Express -21\left(-\frac{9}{7}\right) as a single fraction.
w=\frac{189}{7}
Multiply -21 and -9 to get 189.
w=27
Divide 189 by 7 to get 27.