Solve for w
w=\frac{\sqrt[3]{t-5}+4}{3}
Solve for t
t=-\left(4-3w\right)^{3}+5
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6w-8=2\sqrt[3]{t-5}
Swap sides so that all variable terms are on the left hand side.
6w=2\sqrt[3]{t-5}+8
Add 8 to both sides.
\frac{6w}{6}=\frac{2\sqrt[3]{t-5}+8}{6}
Divide both sides by 6.
w=\frac{2\sqrt[3]{t-5}+8}{6}
Dividing by 6 undoes the multiplication by 6.
w=\frac{\sqrt[3]{t-5}+4}{3}
Divide 2\sqrt[3]{t-5}+8 by 6.
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