Solve for u u-5=-4(w-1)

$u - 5 = - 4 (w - 1)$

Simplify $- 4 (w - 1)$ .

Rewrite.

$u - 5 = 0 + 0 - 4 (w - 1)$

Simplify by adding zeros.

$u - 5 = - 4 (w - 1)$

Apply the distributive property.

$u - 5 = - 4 w - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$u - 5 = - 4 w + 4$

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

Add $5$ to both sides of the equation.

$u = - 4 w + 4 + 5$

Add $4$ and $5$ .

$u = - 4 w + 9$