Solve for s -6(-4+14s)=-4(-12+18s)

$- 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$

Simplify $- 6 (- 4 + 14 s)$ .

Start simplifying.

$0 + 0 - 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$

Simplify by adding zeros.

$- 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$

Apply the distributive property.

$- 6 \cdot - 4 - 6 (14 s) = - 4 (- 12 + 18 s)$

Multiply.

Multiply $- 6$ by $- 4$ .

$24 - 6 (14 s) = - 4 (- 12 + 18 s)$

Multiply $14$ by $- 6$ .

$24 - 84 s = - 4 (- 12 + 18 s)$

Simplify $- 4 (- 12 + 18 s)$ .

Apply the distributive property.

$24 - 84 s = - 4 \cdot - 12 - 4 (18 s)$

Multiply.

Multiply $- 4$ by $- 12$ .

$24 - 84 s = 48 - 4 (18 s)$

Multiply $18$ by $- 4$ .

$24 - 84 s = 48 - 72 s$

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

Add $72 s$ to both sides of the equation.

$24 - 84 s + 72 s = 48$

Add $- 84 s$ and $72 s$ .

$24 - 12 s = 48$

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

Subtract $24$ from both sides of the equation.

$- 12 s = 48 - 24$

Subtract $24$ from $48$ .

$- 12 s = 24$

Divide each term in $- 12 s = 24$ by $- 12$ and simplify.

Divide each term in $- 12 s = 24$ by $- 12$ .

$\frac{- 12 s}{- 12} = \frac{24}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 s}{- 12} = \frac{24}{- 12}$

Divide $s$ by $1$ .

$s = \frac{24}{- 12}$

Simplify the right side.

Divide $24$ by $- 12$ .

$s = - 2$