Question

simplify the expression: -6(-8 + 2k) =

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\), here \(a = - 6\), \(b=-8\) and \(c = 2k\). So we have \(-6\times(-8)+(-6)\times(2k)\).

Step2: Calculate each term

First, calculate \(-6\times(-8)\), the product of two negative numbers is positive, so \(-6\times(-8) = 48\). Then, calculate \(-6\times(2k)\), multiplying the coefficients: \(-6\times2=-12\), so \(-6\times(2k)=-12k\).

Step3: Combine the terms

Combining the two results from step 2, we get \(48-12k\).

Answer:

\(48 - 12k\)