Solve for k (-2(9-5k))/8=-6

$\frac{- 2 (9 - 5 k)}{8} = - 6$

Step 1

Cancel the common factor of $- 2$ and $8$ .

Factor $2$ out of $- 2 (9 - 5 k)$ .

$\frac{2 (- (9 - 5 k))}{8} = - 6$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 (- (9 - 5 k))}{2 (4)} = - 6$

Cancel the common factor.

$\frac{2 (- (9 - 5 k))}{2 \cdot 4} = - 6$

Rewrite the expression.

$\frac{- (9 - 5 k)}{4} = - 6$

$\frac{- (9 - 5 k)}{4} = - 6$

$\frac{- (9 - 5 k)}{4} = - 6$

Step 2

Multiply both sides by $4$ .

$\frac{- (9 - 5 k)}{4} \cdot 4 = - 6 \cdot 4$

Step 3

Simplify.

Simplify the left side.

Simplify $\frac{- (9 - 5 k)}{4} \cdot 4$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{- (9 - 5 k)}{4} \cdot 4 = - 6 \cdot 4$

Rewrite the expression.

$- (9 - 5 k) = - 6 \cdot 4$

$- (9 - 5 k) = - 6 \cdot 4$

Apply the distributive property.

$- 1 \cdot 9 - (- 5 k) = - 6 \cdot 4$

Simplify the expression.

Multiply $- 1$ by $9$ .

$- 9 - (- 5 k) = - 6 \cdot 4$

Multiply $- 5$ by $- 1$ .

$- 9 + 5 k = - 6 \cdot 4$

Reorder $- 9$ and $5 k$ .

$5 k - 9 = - 6 \cdot 4$

$5 k - 9 = - 6 \cdot 4$

$5 k - 9 = - 6 \cdot 4$

$5 k - 9 = - 6 \cdot 4$

Simplify the right side.

Multiply $- 6$ by $4$ .

$5 k - 9 = - 24$

$5 k - 9 = - 24$

$5 k - 9 = - 24$

Step 4

Solve for $k$ .

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

Add $9$ to both sides of the equation.

$5 k = - 24 + 9$

Add $- 24$ and $9$ .

$5 k = - 15$

$5 k = - 15$

Divide each term in $5 k = - 15$ by $5$ and simplify.

Divide each term in $5 k = - 15$ by $5$ .

$\frac{5 k}{5} = \frac{- 15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 k}{5} = \frac{- 15}{5}$

Divide $k$ by $1$ .

$k = \frac{- 15}{5}$

$k = \frac{- 15}{5}$

$k = \frac{- 15}{5}$

Simplify the right side.

Divide $- 15$ by $5$ .

$k = - 3$

$k = - 3$

$k = - 3$

$k = - 3$

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