Respuesta :

The given equation is-

[tex]6+\frac{n}{5}=-4[/tex]

First, we subtract 6 on each side

[tex]\begin{gathered} 6-6+\frac{n}{5}=-4-6 \\ \frac{n}{5}=-10 \end{gathered}[/tex]

Then, we multiply the equation by 5

[tex]\begin{gathered} \frac{n}{5}\cdot5=-10\cdot5 \\ n=-50 \end{gathered}[/tex]

Therefore, the solution is n = -50.

Let's prove this solution. We just have to replace the variable n with the value we found.-

[tex]\begin{gathered} 6+\frac{-50}{5}=-4 \\ 6-10=-4 \\ -4=-4 \end{gathered}[/tex]

Therefore, the solution is right.

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