Solve for w
w=8
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\left(w-6\right)\left(-6\right)=\left(w+4\right)\left(-1\right)
Variable w cannot be equal to any of the values -4,6 since division by zero is not defined. Multiply both sides of the equation by \left(w-6\right)\left(w+4\right), the least common multiple of w+4,w-6.
-6w+36=\left(w+4\right)\left(-1\right)
Use the distributive property to multiply w-6 by -6.
-6w+36=-w-4
Use the distributive property to multiply w+4 by -1.
-6w+36+w=-4
Add w to both sides.
-5w+36=-4
Combine -6w and w to get -5w.
-5w=-4-36
Subtract 36 from both sides.
-5w=-40
Subtract 36 from -4 to get -40.
w=\frac{-40}{-5}
Divide both sides by -5.
w=8
Divide -40 by -5 to get 8.
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