Solve for d 72+4-14d=36

$72 + 4 - 14 d = 36$

Step 1

Add $72$ and $4$ .

$76 - 14 d = 36$

Step 2

Move all terms not containing $d$ to the right side of the equation.

Subtract $76$ from both sides of the equation.

$- 14 d = 36 - 76$

Subtract $76$ from $36$ .

$- 14 d = - 40$

Step 3

Divide each term in $- 14 d = - 40$ by $- 14$ and simplify.

Divide each term in $- 14 d = - 40$ by $- 14$ .

$\frac{- 14 d}{- 14} = \frac{- 40}{- 14}$

Simplify the left side.

Cancel the common factor of $- 14$ .

Cancel the common factor.

$\frac{- 14 d}{- 14} = \frac{- 40}{- 14}$

Divide $d$ by $1$ .

$d = \frac{- 40}{- 14}$

Simplify the right side.

Cancel the common factor of $- 40$ and $- 14$ .

Factor $- 2$ out of $- 40$ .

$d = \frac{- 2 (20)}{- 14}$

Cancel the common factors.

Factor $- 2$ out of $- 14$ .

$d = \frac{- 2 \cdot 20}{- 2 \cdot 7}$

Cancel the common factor.

$d = \frac{- 2 \cdot 20}{- 2 \cdot 7}$

Rewrite the expression.

$d = \frac{20}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$d = \frac{20}{7}$

Decimal Form:

$d = 2.\overline{857142}$

Mixed Number Form:

$d = 2 \frac{6}{7}$