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To simplify the expression 2(k+4)+5, we can use the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c, the expression a(b+c) is equivalent to ab + ac.
Using the distributive property, we can rewrite the expression 2(k+4) as 2k + 2(4).
So the equivalent expression is 2k + 8 + 5.
Simplifying further, we have 2k + 13.
In this expression, 13 is the constant value as it does not contain any variables.