Question

solve for n.
2 = \frac{n + 13}{-6}

Explanation:

Step1: Multiply both sides by -6

To isolate the numerator \( n + 13 \), we multiply both sides of the equation \( 2=\frac{n + 13}{-6} \) by -6.
\[
2\times(-6)=\frac{n + 13}{-6}\times(-6)
\]

Step2: Simplify both sides

Simplify the left side: \( 2\times(-6)=-12 \).
Simplify the right side: \( \frac{n + 13}{-6}\times(-6)=n + 13 \). So we have \( -12=n + 13 \).

Step3: Subtract 13 from both sides

To solve for \( n \), subtract 13 from both sides of the equation \( -12=n + 13 \).
\[
-12-13=n + 13-13
\]

Step4: Simplify both sides

Simplify the left side: \( -12-13=-25 \).
Simplify the right side: \( n + 13-13=n \). So we get \( n=-25 \).

Answer:

\( n = -25 \)