What is the result of the expression (-3 + 2)(-12 - 4) + (-4 + 6) x 3?

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Multiple Choice

What is the result of the expression (-3 + 2)(-12 - 4) + (-4 + 6) x 3?

Explanation:
To solve the expression \((-3 + 2)(-12 - 4) + (-4 + 6) \times 3\), we should break it down step by step. First, simplify the expressions within the parentheses: 1. \(-3 + 2 = -1\) 2. \(-12 - 4 = -16\) 3. \(-4 + 6 = 2\) Now, substitute these simplified values back into the expression: \[ (-1)(-16) + (2) \times 3 \] Next, perform the multiplication: 1. \((-1)(-16) = 16\) 2. \(2 \times 3 = 6\) Now, add these two results together: \[ 16 + 6 = 22 \] Thus, the value of the entire expression is \(22\). This computation follows the order of operations correctly and confirms that \(22\) is the correct answer.

To solve the expression ((-3 + 2)(-12 - 4) + (-4 + 6) \times 3), we should break it down step by step.

First, simplify the expressions within the parentheses:

  1. (-3 + 2 = -1)

  2. (-12 - 4 = -16)

  3. (-4 + 6 = 2)

Now, substitute these simplified values back into the expression:

[

(-1)(-16) + (2) \times 3

]

Next, perform the multiplication:

  1. ((-1)(-16) = 16)

  2. (2 \times 3 = 6)

Now, add these two results together:

[

16 + 6 = 22

]

Thus, the value of the entire expression is (22). This computation follows the order of operations correctly and confirms that (22) is the correct answer.

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