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Use the drop-down menus to choose steps in order to correctly solve [tex]6n + 9 = -3n - 21 - 6[/tex] for [tex]n[/tex].

[tex]\[
\begin{aligned}
6n + 9 & = -3n - 21 - 6 \\
6n + 9 & = -3n - 27 \\
6n + 3n + 9 & = -27 \\
9n + 9 & = -27 \\
9n & = -27 - 9 \\
9n & = -36 \\
n & = -\frac{36}{9} \\
n & = -4
\end{aligned}
\][/tex]

Sagot :

GinnyAnswer
Let's solve the equation step-by-step:

1. Start with the initial equation:
[tex]\[ 6n + 9 = -3n - 21 - 6 \][/tex]

2. Simplify the right-hand side by combining like terms:
[tex]\[ -3n - 21 - 6 = -3n - 27 \][/tex]

3. Now, rewrite the equation after this simplification:
[tex]\[ 6n + 9 = -3n - 27 \][/tex]

4. To get all terms involving [tex]\(n\)[/tex] on one side of the equation, add [tex]\(3n\)[/tex] to both sides of the equation:
[tex]\[ 6n + 3n + 9 = -27 \][/tex]
[tex]\[ 9n + 9 = -27 \][/tex]

5. Next, to isolate the term with [tex]\(n\)[/tex], subtract 9 from both sides of the equation:
[tex]\[ 9n + 9 - 9 = -27 - 9 \][/tex]
[tex]\[ 9n = -36 \][/tex]

6. Finally, solve for [tex]\(n\)[/tex] by dividing both sides by 9:
[tex]\[ n = \frac{-36}{9} \][/tex]
[tex]\[ n = -4 \][/tex]

Thus, the solution to the equation [tex]\(6n + 9 = -3n - 21 - 6\)[/tex] is:
[tex]\[ n = -4 \][/tex]
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