Question

simplify.
-32 + 3(-6 + 3) + 16

-32 + 3(-6 + 3) + 16 = -55

Explanation:

Step1: Simplify innermost parentheses

First, simplify the expression inside the innermost parentheses: \(-6 + 3 = -3\).
So the expression becomes \(-3[2 + 3(-3)] + 16\).

Step2: Simplify the multiplication inside the brackets

Next, perform the multiplication inside the brackets: \(3(-3) = -9\).
Now the expression is \(-3[2 + (-9)] + 16\).

Step3: Simplify the addition inside the brackets

Then, simplify the addition inside the brackets: \(2 + (-9) = -7\).
The expression now is \(-3(-7) + 16\).

Step4: Perform the multiplication

Next, perform the multiplication: \(-3(-7) = 21\).
The expression becomes \(21 + 16\).

Step5: Perform the final addition

Finally, add the two numbers: \(21 + 16 = 37\). Wait, there seems to be a mistake in the provided answer. Let's recheck.

Wait, let's redo the steps carefully:

Step1: Innermost parentheses

\(-6 + 3 = -3\). Expression: \(-3[2 + 3(-3)] + 16\)

Step2: Multiply inside brackets

\(3(-3) = -9\). Expression: \(-3[2 - 9] + 16\) (since \(+(-9)\) is \(-9\))

Step3: Add inside brackets

\(2 - 9 = -7\). Expression: \(-3(-7) + 16\)

Step4: Multiply

\(-3(-7) = 21\). Expression: \(21 + 16\)

Step5: Add

\(21 + 16 = 37\). So the correct answer should be 37, not -55.

Answer:

\(37\)