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simplify the expression: 3(5w + 1) =

Question

simplify the expression: 3(5w + 1) =

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 3\), \(b = 5w\), and \(c = 1\). So we multiply 3 with each term inside the parentheses: \(3\times5w+3\times1\).

Step2: Calculate each product

\(3\times5w = 15w\) and \(3\times1=3\). Then we combine these results.

Answer:

\(15w + 3\)