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combine the like terms to create an equivalent expression. 5 + 2(4a + 8)

Question

combine the like terms to create an equivalent expression.
5 + 2(4a + 8)

Explanation:

Step1: Apply distributive property

Multiply 2 with each term inside the parentheses: \(2\times4a = 8a\) and \(2\times8 = 16\). So the expression becomes \(5 + 8a + 16\).

Step2: Combine constant terms

Add the constant terms 5 and 16: \(5 + 16 = 21\). Now the expression is \(8a + 21\).

Answer:

\(8a + 21\)