Solve for u 6u=6(-4u+5)

$6 u = 6 (- 4 u + 5)$

Simplify $6 (- 4 u + 5)$ .

Apply the distributive property.

$6 u = 6 (- 4 u) + 6 \cdot 5$

Multiply.

Multiply $- 4$ by $6$ .

$6 u = - 24 u + 6 \cdot 5$

Multiply $6$ by $5$ .

$6 u = - 24 u + 30$

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

Add $24 u$ to both sides of the equation.

$6 u + 24 u = 30$

Add $6 u$ and $24 u$ .

$30 u = 30$

Divide each term in $30 u = 30$ by $30$ and simplify.

Divide each term in $30 u = 30$ by $30$ .

$\frac{30 u}{30} = \frac{30}{30}$

Simplify the left side.

Cancel the common factor of $30$ .

Cancel the common factor.

$\frac{30 u}{30} = \frac{30}{30}$

Divide $u$ by $1$ .

$u = \frac{30}{30}$

Simplify the right side.

Divide $30$ by $30$ .

$u = 1$