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simplify the expression: (2 + 2z)(2) =

Question

simplify the expression: (2 + 2z)(2) =

Explanation:

Step1: Apply distributive property

Use the distributive property \(a(b + c)=ab+ac\), here \(a = 2\), \(b = 2\), \(c = 2z\). So \((2 + 2z)(2)=2\times2+2\times2z\)

Step2: Calculate each term

\(2\times2 = 4\) and \(2\times2z=4z\)

Step3: Combine terms

Combine the results: \(4 + 4z\)

Answer:

\(4 + 4z\)