Solve for u.

-3 = - 1/u+1

u = - 2/3

Step-by-step explanation:

-3 = - 1 / (u+1)

Multiply each side by (u+1)

-3 * (u+1) = - 1 / (u+1) * (u+1)

-3 (u+1) = - 1

Distribute

-3u - 3 = - 1

Add 3 to each side

-3u - 3+3 = - 1+3

-3u = 2

Divide each side by - 3

-3u/-3 = 2/-3

u = - 2/3

-2/3

Step-by-step explanation:

multiply each side by u + 1 to get it out of the denominator

-3 (u + 1) = - 1

now use distributive property

-3u - 3 = - 1

add the 3 to move it over

-3u = 2

now divide by - 3

u = - 2/3