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w=5\left(-\frac{9}{16}\right)
Multiply both sides by -\frac{9}{16}, the reciprocal of -\frac{16}{9}.
w=\frac{5\left(-9\right)}{16}
Express 5\left(-\frac{9}{16}\right) as a single fraction.
w=\frac{-45}{16}
Multiply 5 and -9 to get -45.
w=-\frac{45}{16}
Fraction \frac{-45}{16} can be rewritten as -\frac{45}{16} by extracting the negative sign.