Question

solve $3n - 5p + 2n = 10p$ for $n$.
a. $n = \frac{1}{p}$
b. $n = 3p$
c. $n = p$
d. $n = \frac{p}{3}$

Explanation:

Step1: Combine like terms for n

We have the equation \(3n - 5p + 2n = 10p\). First, combine the \(n\)-terms: \(3n+2n = 5n\), so the equation becomes \(5n - 5p=10p\).

Step2: Isolate the term with n

Add \(5p\) to both sides of the equation: \(5n-5p + 5p=10p + 5p\), which simplifies to \(5n=15p\).

Step3: Solve for n

Divide both sides by 5: \(\frac{5n}{5}=\frac{15p}{5}\), so \(n = 3p\).

Answer:

B. \(n = 3p\)