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\frac{d+3nd-3d}{3}
Factor out \frac{1}{3}.
d\left(-2+3n\right)
Consider d+3nd-3d. Factor out d.
3n-2
Consider 1+3n-3. Multiply and combine like terms.
\frac{d\left(3n-2\right)}{3}
Rewrite the complete factored expression.
-\frac{2}{3}d+nd
Combine \frac{1}{3}d and -d to get -\frac{2}{3}d.