3u+6=-9(u+6)

Solution for 3u+6=-9(u+6) equation:

Simplifying
3u + 6 = -9(u + 6)

Reorder the terms:
6 + 3u = -9(u + 6)

Reorder the terms:
6 + 3u = -9(6 + u)
6 + 3u = (6 * -9 + u * -9)
6 + 3u = (-54 + -9u)

Solving
6 + 3u = -54 + -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 + 3u + 9u = -54 + -9u + 9u

Combine like terms: 3u + 9u = 12u
6 + 12u = -54 + -9u + 9u

Combine like terms: -9u + 9u = 0
6 + 12u = -54 + 0
6 + 12u = -54

Add '-6' to each side of the equation.
6 + -6 + 12u = -54 + -6

Combine like terms: 6 + -6 = 0
0 + 12u = -54 + -6
12u = -54 + -6

Combine like terms: -54 + -6 = -60
12u = -60

Divide each side by '12'.
u = -5

Simplifying
u = -5