Solve for c -1=-5/8c+9

$- 1 = - \frac{5}{8} c + 9$

Step 1

Rewrite the equation as $- \frac{5}{8} c + 9 = - 1$ .

$- \frac{5}{8} c + 9 = - 1$

Step 2

Simplify each term.

Combine $c$ and $\frac{5}{8}$ .

$- \frac{c \cdot 5}{8} + 9 = - 1$

Move $5$ to the left of $c$ .

$- \frac{5 c}{8} + 9 = - 1$

Step 3

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

Subtract $9$ from both sides of the equation.

$- \frac{5 c}{8} = - 1 - 9$

Subtract $9$ from $- 1$ .

$- \frac{5 c}{8} = - 10$

Step 4

Multiply both sides of the equation by $- \frac{8}{5}$ .

$- \frac{8}{5} (- \frac{5 c}{8}) = - \frac{8}{5} \cdot - 10$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{8}{5} (- \frac{5 c}{8})$ .

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$\frac{- 8}{5} (- \frac{5 c}{8}) = - \frac{8}{5} \cdot - 10$

Move the leading negative in $- \frac{5 c}{8}$ into the numerator.

$\frac{- 8}{5} \cdot \frac{- 5 c}{8} = - \frac{8}{5} \cdot - 10$

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{5} \cdot \frac{- 5 c}{8} = - \frac{8}{5} \cdot - 10$

Cancel the common factor.

$\frac{8 \cdot - 1}{5} \cdot \frac{- 5 c}{8} = - \frac{8}{5} \cdot - 10$

Rewrite the expression.

$\frac{- 1}{5} (- 5 c) = - \frac{8}{5} \cdot - 10$

Cancel the common factor of $5$ .

Factor $5$ out of $- 5 c$ .

$\frac{- 1}{5} (5 (- c)) = - \frac{8}{5} \cdot - 10$

Cancel the common factor.

$\frac{- 1}{5} (5 (- c)) = - \frac{8}{5} \cdot - 10$

Rewrite the expression.

$- - c = - \frac{8}{5} \cdot - 10$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 c = - \frac{8}{5} \cdot - 10$

Multiply $c$ by $1$ .

$c = - \frac{8}{5} \cdot - 10$

Simplify the right side.

Simplify $- \frac{8}{5} \cdot - 10$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$c = \frac{- 8}{5} \cdot - 10$

Factor $5$ out of $- 10$ .

$c = \frac{- 8}{5} \cdot (5 (- 2))$

Cancel the common factor.

$c = \frac{- 8}{5} \cdot (5 \cdot - 2)$

Rewrite the expression.

$c = - 8 \cdot - 2$

Multiply $- 8$ by $- 2$ .

$c = 16$

Solve for c -1=-5/8c+9

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