Solve for n d=2m+5n

$d = 2 m + 5 n$

Step 1

Rewrite the equation as $2 m + 5 n = d$ .

$2 m + 5 n = d$

Step 2

Subtract $2 m$ from both sides of the equation.

$5 n = d - 2 m$

Step 3

Divide each term in $5 n = d - 2 m$ by $5$ and simplify.

Divide each term in $5 n = d - 2 m$ by $5$ .

$\frac{5 n}{5} = \frac{d}{5} + \frac{- 2 m}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 n}{5} = \frac{d}{5} + \frac{- 2 m}{5}$

Divide $n$ by $1$ .

$n = \frac{d}{5} + \frac{- 2 m}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$n = \frac{d}{5} - \frac{2 m}{5}$