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

Question

asked Nov 11, 2022 183k views

2 Answers

Askaroni · Answer 1 · 2022-11-14T19:33:28+0000

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

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.

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