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Sagot :
Answer:
k = 7
Step-by-step explanation:
The goal is to solve for the variable k in this problem.
To do this, we need to get k by itself!
2k + 16 = 30
Start by subtracting the 16 over from the left side to the right
2k + 16 - 16 = 30 - 16
Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).
2k = 14
Then finish by dividing both sides by 2 to get k by itself.
[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]
Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).
k = 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]
[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{3k = 30 - 16}[/tex]
[tex]\mathbf{2k = 14}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]
[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{14}{2}}[/tex]
[tex]\mathbf{x = 14\div2}[/tex]
[tex]\mathbf{x = 7}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
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