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

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

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

Reorder the terms:
u + 1 + -2(-1 + -9u) = 3(u + -3)
u + 1 + (-1 * -2 + -9u * -2) = 3(u + -3)
u + 1 + (2 + 18u) = 3(u + -3)

Reorder the terms:
1 + 2 + u + 18u = 3(u + -3)

Combine like terms: 1 + 2 = 3
3 + u + 18u = 3(u + -3)

Combine like terms: u + 18u = 19u
3 + 19u = 3(u + -3)

Reorder the terms:
3 + 19u = 3(-3 + u)
3 + 19u = (-3 * 3 + u * 3)
3 + 19u = (-9 + 3u)

Solving
3 + 19u = -9 + 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.
3 + 19u + -3u = -9 + 3u + -3u

Combine like terms: 19u + -3u = 16u
3 + 16u = -9 + 3u + -3u

Combine like terms: 3u + -3u = 0
3 + 16u = -9 + 0
3 + 16u = -9

Add '-3' to each side of the equation.
3 + -3 + 16u = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 16u = -9 + -3
16u = -9 + -3

Combine like terms: -9 + -3 = -12
16u = -12

Divide each side by '16'.
u = -0.75

Simplifying
u = -0.75