Solve for c -3/8c=9

$- \frac{3}{8} c = 9$

Step 1

Multiply both sides of the equation by $- \frac{8}{3}$ .

$- \frac{8}{3} (- \frac{3}{8} c) = - \frac{8}{3} \cdot 9$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{8}{3} (- \frac{3}{8} c)$ .

Combine $c$ and $\frac{3}{8}$ .

$- \frac{8}{3} (- \frac{c \cdot 3}{8}) = - \frac{8}{3} \cdot 9$

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$\frac{- 8}{3} (- \frac{c \cdot 3}{8}) = - \frac{8}{3} \cdot 9$

Move the leading negative in $- \frac{c \cdot 3}{8}$ into the numerator.

$\frac{- 8}{3} \cdot \frac{- c \cdot 3}{8} = - \frac{8}{3} \cdot 9$

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{3} \cdot \frac{- c \cdot 3}{8} = - \frac{8}{3} \cdot 9$

Cancel the common factor.

$\frac{8 \cdot - 1}{3} \cdot \frac{- c \cdot 3}{8} = - \frac{8}{3} \cdot 9$

Rewrite the expression.

$\frac{- 1}{3} (- c \cdot 3) = - \frac{8}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $- c \cdot 3$ .

$\frac{- 1}{3} (3 \cdot (- c)) = - \frac{8}{3} \cdot 9$

Cancel the common factor.

$\frac{- 1}{3} (3 \cdot (- c)) = - \frac{8}{3} \cdot 9$

Rewrite the expression.

$- - c = - \frac{8}{3} \cdot 9$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 c = - \frac{8}{3} \cdot 9$

Multiply $c$ by $1$ .

$c = - \frac{8}{3} \cdot 9$

Simplify the right side.

Simplify $- \frac{8}{3} \cdot 9$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$c = \frac{- 8}{3} \cdot 9$

Factor $3$ out of $9$ .

$c = \frac{- 8}{3} \cdot (3 (3))$

Cancel the common factor.

$c = \frac{- 8}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$c = - 8 \cdot 3$

Multiply $- 8$ by $3$ .

$c = - 24$

Solve for c -3/8c=9

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