-6(u+1)=-9u-33

Solution for -6(u+1)=-9u-33 equation:

Simplifying
-6(u + 1) = -9u + -33

Reorder the terms:
-6(1 + u) = -9u + -33
(1 * -6 + u * -6) = -9u + -33
(-6 + -6u) = -9u + -33

Reorder the terms:
-6 + -6u = -33 + -9u

Solving
-6 + -6u = -33 + -9u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '9u' to each side of the equation.
-6 + -6u + 9u = -33 + -9u + 9u

Combine like terms: -6u + 9u = 3u
-6 + 3u = -33 + -9u + 9u

Combine like terms: -9u + 9u = 0
-6 + 3u = -33 + 0
-6 + 3u = -33

Add '6' to each side of the equation.
-6 + 6 + 3u = -33 + 6

Combine like terms: -6 + 6 = 0
0 + 3u = -33 + 6
3u = -33 + 6

Combine like terms: -33 + 6 = -27
3u = -27

Divide each side by '3'.
u = -9

Simplifying
u = -9