Solve for w 10=-4/3w

$10 = - \frac{4}{3} w$

Step 1

Rewrite the equation as $- \frac{4}{3} w = 10$ .

$- \frac{4}{3} w = 10$

Step 2

Multiply both sides of the equation by $- \frac{3}{4}$ .

$- \frac{3}{4} (- \frac{4}{3} w) = - \frac{3}{4} \cdot 10$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{3}{4} (- \frac{4}{3} w)$ .

Combine $w$ and $\frac{4}{3}$ .

$- \frac{3}{4} (- \frac{w \cdot 4}{3}) = - \frac{3}{4} \cdot 10$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{- 3}{4} (- \frac{w \cdot 4}{3}) = - \frac{3}{4} \cdot 10$

Move the leading negative in $- \frac{w \cdot 4}{3}$ into the numerator.

$\frac{- 3}{4} \cdot \frac{- w \cdot 4}{3} = - \frac{3}{4} \cdot 10$

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{4} \cdot \frac{- w \cdot 4}{3} = - \frac{3}{4} \cdot 10$

Cancel the common factor.

$\frac{3 \cdot - 1}{4} \cdot \frac{- w \cdot 4}{3} = - \frac{3}{4} \cdot 10$

Rewrite the expression.

$\frac{- 1}{4} (- w \cdot 4) = - \frac{3}{4} \cdot 10$

Cancel the common factor of $4$ .

Factor $4$ out of $- w \cdot 4$ .

$\frac{- 1}{4} (4 \cdot (- w)) = - \frac{3}{4} \cdot 10$

Cancel the common factor.

$\frac{- 1}{4} (4 \cdot (- w)) = - \frac{3}{4} \cdot 10$

Rewrite the expression.

$- - w = - \frac{3}{4} \cdot 10$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - \frac{3}{4} \cdot 10$

Multiply $w$ by $1$ .

$w = - \frac{3}{4} \cdot 10$

Simplify the right side.

Simplify $- \frac{3}{4} \cdot 10$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$w = \frac{- 3}{4} \cdot 10$

Factor $2$ out of $4$ .

$w = \frac{- 3}{2 (2)} \cdot 10$

Factor $2$ out of $10$ .

$w = \frac{- 3}{2 \cdot 2} \cdot (2 \cdot 5)$

Cancel the common factor.

$w = \frac{- 3}{2 \cdot 2} \cdot (2 \cdot 5)$

Rewrite the expression.

$w = \frac{- 3}{2} \cdot 5$

Combine $\frac{- 3}{2}$ and $5$ .

$w = \frac{- 3 \cdot 5}{2}$

Simplify the expression.

Multiply $- 3$ by $5$ .

$w = \frac{- 15}{2}$

Move the negative in front of the fraction.

$w = - \frac{15}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{15}{2}$

Decimal Form:

$w = - 7.5$

Mixed Number Form:

$w = - 7 \frac{1}{2}$

Solve for w 10=-4/3w

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