3(u+3)=-6(4u-1)+9u

Solution for 3(u+3)=-6(4u-1)+9u equation:

Simplifying
3(u + 3) = -6(4u + -1) + 9u

Reorder the terms:
3(3 + u) = -6(4u + -1) + 9u
(3 * 3 + u * 3) = -6(4u + -1) + 9u
(9 + 3u) = -6(4u + -1) + 9u

Reorder the terms:
9 + 3u = -6(-1 + 4u) + 9u
9 + 3u = (-1 * -6 + 4u * -6) + 9u
9 + 3u = (6 + -24u) + 9u

Combine like terms: -24u + 9u = -15u
9 + 3u = 6 + -15u

Solving
9 + 3u = 6 + -15u

Solving for variable 'u'.

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

Add '15u' to each side of the equation.
9 + 3u + 15u = 6 + -15u + 15u

Combine like terms: 3u + 15u = 18u
9 + 18u = 6 + -15u + 15u

Combine like terms: -15u + 15u = 0
9 + 18u = 6 + 0
9 + 18u = 6

Add '-9' to each side of the equation.
9 + -9 + 18u = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 18u = 6 + -9
18u = 6 + -9

Combine like terms: 6 + -9 = -3
18u = -3

Divide each side by '18'.
u = -0.1666666667

Simplifying
u = -0.1666666667