9u+1-3(-4u-3)=3(u-2)

Solution for 9u+1-3(-4u-3)=3(u-2) equation:

Simplifying
9u + 1 + -3(-4u + -3) = 3(u + -2)

Reorder the terms:
9u + 1 + -3(-3 + -4u) = 3(u + -2)
9u + 1 + (-3 * -3 + -4u * -3) = 3(u + -2)
9u + 1 + (9 + 12u) = 3(u + -2)

Reorder the terms:
1 + 9 + 9u + 12u = 3(u + -2)

Combine like terms: 1 + 9 = 10
10 + 9u + 12u = 3(u + -2)

Combine like terms: 9u + 12u = 21u
10 + 21u = 3(u + -2)

Reorder the terms:
10 + 21u = 3(-2 + u)
10 + 21u = (-2 * 3 + u * 3)
10 + 21u = (-6 + 3u)

Solving
10 + 21u = -6 + 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.
10 + 21u + -3u = -6 + 3u + -3u

Combine like terms: 21u + -3u = 18u
10 + 18u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
10 + 18u = -6 + 0
10 + 18u = -6

Add '-10' to each side of the equation.
10 + -10 + 18u = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 18u = -6 + -10
18u = -6 + -10

Combine like terms: -6 + -10 = -16
18u = -16

Divide each side by '18'.
u = -0.8888888889

Simplifying
u = -0.8888888889