Question

solve for n.
2n + 20 + 14n = -19 + 13n
n = \boxed{}

Explanation:

Step1: Combine like terms on left

Combine \(2n\) and \(14n\): \(2n + 14n = 16n\), so left side is \(16n + 20\).

Step2: Subtract \(13n\) from both sides

\(16n + 20 - 13n = -19 + 13n - 13n\), simplifies to \(3n + 20 = -19\).

Step3: Subtract 20 from both sides

\(3n + 20 - 20 = -19 - 20\), gives \(3n = -39\).

Step4: Divide by 3

\(\frac{3n}{3} = \frac{-39}{3}\), so \(n = -13\).

Answer:

\(n = -13\)