Question

What is,
m/n = p-6

solve for n.

Answer 1

`\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(\left(p-6\right)n)/(p-6)=(m)/(p-6) \\`

Cancel (p-6) by p-6.

`\sf \: n =(m)/(p-6) \\`

Variable n cannot be equal to 0.

`\boxed{ \boxed{ \bf \: n=(m)/(p-6)\text{, }n\\eq 0 }}`

Answer 2

• 
  `\pmb{n=(m)/((p-6)) }`

Explanation:

`(m)/(n)=(p-6)\\\\m=(p-6)n\\\\n=(m)/((p-6))`