Question

simplify.
\\(\frac{(-9)(-2) - (6)(2)}{29 \div (2 - 11)}\\)
\\(\frac{(-9)(-2) - (6)(2)}{29 \div (2 - 11)} = \square\\)

Explanation:

Step1: Simplify numerator and denominator separately.

First, handle the numerator: \((-9)(-2) - (6)(2)\). Multiply the terms: \((-9)(-2) = 18\) and \((6)(2) = 12\). Then subtract: \(18 - 12 = 6\).

Now the denominator: \(2[9 \div (2 - 11)]\). First simplify the innermost parentheses: \(2 - 11 = -9\). Then do the division: \(9 \div (-9) = -1\). Then multiply by 2: \(2 \times (-1) = -2\).

Step2: Divide numerator by denominator.

Now we have \(\frac{6}{-2}\). Dividing these gives \(-3\).

Answer:

\(-3\)