Question

solve for n. 10m + 12n = -6 n =

Explanation:

Step1: Isolate the term with n

Subtract \(10m\) from both sides of the equation \(10m + 12n=-6\).
\(12n=-6 - 10m\)

Step2: Solve for n

Divide both sides of the equation by 12 to isolate n.
\(n=\frac{-6 - 10m}{12}\)
Simplify the fraction by factoring out a -2 from the numerator and then simplifying.
\(n=\frac{-2(3 + 5m)}{12}=\frac{-(3 + 5m)}{6}=\frac{-3 - 5m}{6}\) or we can also write it as \(n=\frac{-5m - 3}{6}\)

Answer:

\(\frac{-5m - 3}{6}\) (or equivalent forms like \(\frac{-3-5m}{6}\))