Question

What is, m/n = p-6 solve for n.

Answer 1

Answer:

• $\pmb{n=\dfrac{m}{(p-6)} }$

Step-by-step explanation:

$\dfrac{m}{n}=(p-6)\\\\m=(p-6)n\\\\n=\dfrac{m}{(p-6)}$

Answer 2

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

• What is, m/n = p-6. Solve for n.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: \frac { m } { n } = p - 6$

Variable n cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by n.

$\sf \: m=np+n\left(-6\right)$

Swap sides so that all variable terms are on the left-hand side.

$\sf \: np+n\left(-6\right)=m$

Combine all terms containing n.

$\sf\left(p-6\right)n=m$

Divide both sides by p-6.

$\sf\frac{\left(p-6\right)n}{p-6}=\frac{m}{p-6}$

Cancel (p-6) by p-6.

$\sf \: n =\frac{m}{p-6}$

Variable n cannot be equal to 0.

$\boxed{ \boxed{ \bf \: n=\frac{m}{p-6}\text{, }n\neq 0 }}$