Math Problem Solver

\[ -6 - \frac{-12}{-3} + -9 = -19 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-6}{1}\), \(\frac{12}{-3}\), and \(\frac{-9}{1}\) is \(3\). \[ \begin{aligned} -6 - \frac{-12}{-3} + -9 &= \frac{-6 \cdot 3}{1 \cdot 3} + \frac{12 \cdot -1}{-3 \cdot -1} + \frac{-9 \cdot 3}{1 \cdot 3} \\ &= \frac{-18 + -12 + -27}{3} \\ &= \frac{-57}{3} \\&= -19 \end{aligned} \]