-9u+6=-3(u-4)

Solution for -9u+6=-3(u-4) equation:

Simplifying
-9u + 6 = -3(u + -4)

Reorder the terms:
6 + -9u = -3(u + -4)

Reorder the terms:
6 + -9u = -3(-4 + u)
6 + -9u = (-4 * -3 + u * -3)
6 + -9u = (12 + -3u)

Solving
6 + -9u = 12 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
6 + -9u + 3u = 12 + -3u + 3u

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

Combine like terms: -3u + 3u = 0
6 + -6u = 12 + 0
6 + -6u = 12

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

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

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

Divide each side by '-6'.
u = -1

Simplifying
u = -1