Solve for u -26u+2u+41u+14=-20

$- 26 u + 2 u + 41 u + 14 = - 20$

Step 1

Simplify $- 26 u + 2 u + 41 u + 14$ .

Add $- 26 u$ and $2 u$ .

$- 24 u + 41 u + 14 = - 20$

Add $- 24 u$ and $41 u$ .

$17 u + 14 = - 20$

Step 2

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

Subtract $14$ from both sides of the equation.

$17 u = - 20 - 14$

Subtract $14$ from $- 20$ .

$17 u = - 34$

Step 3

Divide each term in $17 u = - 34$ by $17$ and simplify.

Divide each term in $17 u = - 34$ by $17$ .

$\frac{17 u}{17} = \frac{- 34}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 u}{17} = \frac{- 34}{17}$

Divide $u$ by $1$ .

$u = \frac{- 34}{17}$

Simplify the right side.

Divide $- 34$ by $17$ .

$u = - 2$