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\frac{-4a+5a-1}{6}
Factor out \frac{1}{6}.
a-1
Consider -4a+5a-1. Multiply and combine like terms.
\frac{a-1}{6}
Rewrite the complete factored expression.
\frac{1}{6}a-\frac{1}{6}
Combine -\frac{2}{3}a and \frac{5}{6}a to get \frac{1}{6}a.