Solve for d 20d+13-12=-43

$20 d + 13 - 12 = - 43$

Step 1

Subtract $12$ from $13$ .

$20 d + 1 = - 43$

Step 2

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

Subtract $1$ from both sides of the equation.

$20 d = - 43 - 1$

Subtract $1$ from $- 43$ .

$20 d = - 44$

Step 3

Divide each term in $20 d = - 44$ by $20$ and simplify.

Divide each term in $20 d = - 44$ by $20$ .

$\frac{20 d}{20} = \frac{- 44}{20}$

Simplify the left side.

Cancel the common factor of $20$ .

Cancel the common factor.

$\frac{20 d}{20} = \frac{- 44}{20}$

Divide $d$ by $1$ .

$d = \frac{- 44}{20}$

Simplify the right side.

Cancel the common factor of $- 44$ and $20$ .

Factor $4$ out of $- 44$ .

$d = \frac{4 (- 11)}{20}$

Cancel the common factors.

Factor $4$ out of $20$ .

$d = \frac{4 \cdot - 11}{4 \cdot 5}$

Cancel the common factor.

$d = \frac{4 \cdot - 11}{4 \cdot 5}$

Rewrite the expression.

$d = \frac{- 11}{5}$

Move the negative in front of the fraction.

$d = - \frac{11}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$d = - \frac{11}{5}$

Decimal Form:

$d = - 2.2$

Mixed Number Form:

$d = - 2 \frac{1}{5}$