-13+(-4)÷2-3[-{(-3)×(-7)-(3+5)}]

asked by guest
on Nov 11, 2024 at 6:18 am



You asked:

Evaluate the expression: \(-13 + \frac{-4}{2} - 3 \cdot -\left( -3 \cdot -7 - \left(3 + 5\right) \right)\)

MathBot Answer:

\[-13 + \frac{-4}{2} - 3 \cdot -\left( -3 \cdot -7 - \left(3 + 5\right) \right) = 24\]

\[\begin{aligned}-13 + \frac{-4}{2} - 3 \cdot -\left( -3 \cdot -7 - \left(3 + 5\right) \right)& = -13 - 2 - 3 \cdot -1 \cdot \left(-3 \cdot -7 - \left(3 + 5\right)\right)\\& = -13 - 2 - 3 \cdot -1 \cdot \left(21 - \left(3 + 5\right)\right)\\& = -13 - 2 - 3 \cdot -1 \cdot \left(21 - 8\right)\\& = -13 - 2 - 3 \cdot -1 \cdot 13\\& = -13 - 2 - -3 \cdot 13\\& = -13 - 2 - -39\\& = -13 - 2 + 39\\& = -15 + 39\\& = 24\end{aligned}\]

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