Solve for d -2/9d=4

$- \frac{2}{9} d = 4$

Step 1

Multiply both sides of the equation by $- \frac{9}{2}$ .

$- \frac{9}{2} (- \frac{2}{9} d) = - \frac{9}{2} \cdot 4$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{9}{2} (- \frac{2}{9} d)$ .

Combine $d$ and $\frac{2}{9}$ .

$- \frac{9}{2} (- \frac{d \cdot 2}{9}) = - \frac{9}{2} \cdot 4$

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{9}{2}$ into the numerator.

$\frac{- 9}{2} (- \frac{d \cdot 2}{9}) = - \frac{9}{2} \cdot 4$

Move the leading negative in $- \frac{d \cdot 2}{9}$ into the numerator.

$\frac{- 9}{2} \cdot \frac{- d \cdot 2}{9} = - \frac{9}{2} \cdot 4$

Factor $9$ out of $- 9$ .

$\frac{9 (- 1)}{2} \cdot \frac{- d \cdot 2}{9} = - \frac{9}{2} \cdot 4$

Cancel the common factor.

$\frac{9 \cdot - 1}{2} \cdot \frac{- d \cdot 2}{9} = - \frac{9}{2} \cdot 4$

Rewrite the expression.

$\frac{- 1}{2} (- d \cdot 2) = - \frac{9}{2} \cdot 4$

Cancel the common factor of $2$ .

Factor $2$ out of $- d \cdot 2$ .

$\frac{- 1}{2} (2 \cdot (- d)) = - \frac{9}{2} \cdot 4$

Cancel the common factor.

$\frac{- 1}{2} (2 \cdot (- d)) = - \frac{9}{2} \cdot 4$

Rewrite the expression.

$- - d = - \frac{9}{2} \cdot 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 d = - \frac{9}{2} \cdot 4$

Multiply $d$ by $1$ .

$d = - \frac{9}{2} \cdot 4$

Simplify the right side.

Simplify $- \frac{9}{2} \cdot 4$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{9}{2}$ into the numerator.

$d = \frac{- 9}{2} \cdot 4$

Factor $2$ out of $4$ .

$d = \frac{- 9}{2} \cdot (2 (2))$

Cancel the common factor.

$d = \frac{- 9}{2} \cdot (2 \cdot 2)$

Rewrite the expression.

$d = - 9 \cdot 2$

Multiply $- 9$ by $2$ .

$d = - 18$

Solve for d -2/9d=4

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