Solve for u -8.6(-84u-68)=-17.2(8u-93)

$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Simplify $- 8.6 (- 84 u - 68)$ .

Start simplifying.

$0 + 0 - 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Simplify by adding zeros.

$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Apply the distributive property.

$- 8.6 (- 84 u) - 8.6 \cdot - 68 = - 17.2 (8 u - 93)$

Multiply.

Multiply $- 84$ by $- 8.6$ .

$722.4 u - 8.6 \cdot - 68 = - 17.2 (8 u - 93)$

Multiply $- 8.6$ by $- 68$ .

$722.4 u + 584.8 = - 17.2 (8 u - 93)$

Simplify $- 17.2 (8 u - 93)$ .

Apply the distributive property.

$722.4 u + 584.8 = - 17.2 (8 u) - 17.2 \cdot - 93$

Multiply.

Multiply $8$ by $- 17.2$ .

$722.4 u + 584.8 = - 137.6 u - 17.2 \cdot - 93$

Multiply $- 17.2$ by $- 93$ .

$722.4 u + 584.8 = - 137.6 u + 1599.6$

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

Add $137.6 u$ to both sides of the equation.

$722.4 u + 584.8 + 137.6 u = 1599.6$

Add $722.4 u$ and $137.6 u$ .

$860 u + 584.8 = 1599.6$

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

Subtract $584.8$ from both sides of the equation.

$860 u = 1599.6 - 584.8$

Subtract $584.8$ from $1599.6$ .

$860 u = 1014.8$

Divide each term in $860 u = 1014.8$ by $860$ and simplify.

Divide each term in $860 u = 1014.8$ by $860$ .

$\frac{860 u}{860} = \frac{1014.8}{860}$

Simplify the left side.

Cancel the common factor of $860$ .

Cancel the common factor.

$\frac{860 u}{860} = \frac{1014.8}{860}$

Divide $u$ by $1$ .

$u = \frac{1014.8}{860}$

Simplify the right side.

Divide $1014.8$ by $860$ .

$u = 1.18$