Solve for w
w=-\frac{15}{17}\approx -0.882352941
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3\left(w+3\right)+24w\left(-\frac{5}{6}\right)=24
Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 24w, the least common multiple of 8w,6,w.
3w+9+24w\left(-\frac{5}{6}\right)=24
Use the distributive property to multiply 3 by w+3.
3w+9-20w=24
Multiply 24 and -\frac{5}{6} to get -20.
-17w+9=24
Combine 3w and -20w to get -17w.
-17w=24-9
Subtract 9 from both sides.
-17w=15
Subtract 9 from 24 to get 15.
w=\frac{15}{-17}
Divide both sides by -17.
w=-\frac{15}{17}
Fraction \frac{15}{-17} can be rewritten as -\frac{15}{17} by extracting the negative sign.
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