To solve the equation [tex]\(5n + 6 = -4\)[/tex], follow these steps:
1. Isolate the term with the variable [tex]\(n\)[/tex]:
Start by getting all terms involving [tex]\(n\)[/tex] on one side of the equation and the constant terms on the other side. Subtract 6 from both sides to do this:
[tex]\[
5n + 6 - 6 = -4 - 6
\][/tex]
Simplifying this will give:
[tex]\[
5n = -10
\][/tex]
2. Solve for [tex]\(n\)[/tex]:
Now, to isolate [tex]\(n\)[/tex], divide both sides of the equation by 5:
[tex]\[
\frac{5n}{5} = \frac{-10}{5}
\][/tex]
Simplifying this will give:
[tex]\[
n = -2
\][/tex]
So, the solution to the equation [tex]\(5n + 6 = -4\)[/tex] is:
[tex]\[
n = -2
\][/tex]
