3u+33=-6(u-7)

Solution for 3u+33=-6(u-7) equation:

Simplifying
3u + 33 = -6(u + -7)

Reorder the terms:
33 + 3u = -6(u + -7)

Reorder the terms:
33 + 3u = -6(-7 + u)
33 + 3u = (-7 * -6 + u * -6)
33 + 3u = (42 + -6u)

Solving
33 + 3u = 42 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
33 + 3u + 6u = 42 + -6u + 6u

Combine like terms: 3u + 6u = 9u
33 + 9u = 42 + -6u + 6u

Combine like terms: -6u + 6u = 0
33 + 9u = 42 + 0
33 + 9u = 42

Add '-33' to each side of the equation.
33 + -33 + 9u = 42 + -33

Combine like terms: 33 + -33 = 0
0 + 9u = 42 + -33
9u = 42 + -33

Combine like terms: 42 + -33 = 9
9u = 9

Divide each side by '9'.
u = 1

Simplifying
u = 1