Question

In the following exercises, simplify each expression.

$9-2\left[3-8\left(-2\right)\right]$

Short answer

$-29$

Step-by-step solution

Step 1. Given Information

The given expression is$9-2\left[3-8\left(-2\right)\right]$.

Step 2. Remove the bracket by applying order of operation.

• Perform multiplication and then simplify further in the expression inside the bracket.

$\begin{array}{rcl}9-2\left[3-8\left(-2\right)\right]& =& 9-2\left[3+16\right]\\ & =& 9-2\left[19\right]\end{array}$

Step 3. Apply the order of operation to simplify further.

Perform multiplication and then simplify.

$\begin{array}{rcl}9-2\left[19\right]& =& 9-38\\ & =& -29\end{array}$

Step 4. Conclusion

The resultant value is$-29$.