Solve for s 18s-6(6s-1)=-20s

$18 s - 6 (6 s - 1) = - 20 s$

Step 1

Simplify $18 s - 6 (6 s - 1)$ .

Simplify each term.

Apply the distributive property.

$18 s - 6 (6 s) - 6 \cdot - 1 = - 20 s$

Multiply $6$ by $- 6$ .

$18 s - 36 s - 6 \cdot - 1 = - 20 s$

Multiply $- 6$ by $- 1$ .

$18 s - 36 s + 6 = - 20 s$

Subtract $36 s$ from $18 s$ .

$- 18 s + 6 = - 20 s$

Step 2

Move all terms containing $s$ to the left side of the equation.

Add $20 s$ to both sides of the equation.

$- 18 s + 6 + 20 s = 0$

Add $- 18 s$ and $20 s$ .

$2 s + 6 = 0$

Step 3

Subtract $6$ from both sides of the equation.

$2 s = - 6$

Step 4

Divide each term in $2 s = - 6$ by $2$ and simplify.

Divide each term in $2 s = - 6$ by $2$ .

$\frac{2 s}{2} = \frac{- 6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 s}{2} = \frac{- 6}{2}$

Divide $s$ by $1$ .

$s = \frac{- 6}{2}$

Simplify the right side.

Divide $- 6$ by $2$ .

$s = - 3$