338/(-58+9*5)-2*(14-7*6)

asked by guest
on Nov 19, 2024 at 3:09 pm



You asked:

Evaluate the expression: \(\frac{338}{-58 + 9 \cdot 5} - 2 \cdot \left(14 - 7 \cdot 6\right)\)

MathBot Answer:

\[\frac{338}{-58 + 9 \cdot 5} - 2 \cdot \left(14 - 7 \cdot 6\right) = 30\]

\[\begin{aligned}\frac{338}{-58 + 9 \cdot 5} - 2 \cdot \left(14 - 7 \cdot 6\right)& = 338 \cdot \frac{1}{-58 + 9 \cdot 5} - 2 \cdot \left(14 - 7 \cdot 6\right)\\& = 338 \cdot \frac{1}{-58 + 45} - 2 \cdot \left(14 - 7 \cdot 6\right)\\& = \frac{338}{-13} - 2 \cdot \left(14 - 7 \cdot 6\right)\\& = -26 - 2 \cdot \left(14 - 7 \cdot 6\right)\\& = -26 - 2 \cdot \left(14 - 42\right)\\& = -26 - 2 \cdot -28\\& = -26 - -56\\& = -26 + 56\\& = 30\end{aligned}\]

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