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The expression 2(k+4)+5 can be simplified by distributing the 2 to both k and 4, then combining like terms.
When we distribute 2 to the terms inside the parentheses, we get 2k + 8.
So the expression becomes 2k + 8 + 5.
By combining like terms, we get 2k + 13.
Therefore, the equivalent expression in simplest form is 2k + 13.
In this expression, the constant value is 13.