6(u+1)=-2(9u-2)+6u

Solution for 6(u+1)=-2(9u-2)+6u equation:

Simplifying
6(u + 1) = -2(9u + -2) + 6u

Reorder the terms:
6(1 + u) = -2(9u + -2) + 6u
(1 * 6 + u * 6) = -2(9u + -2) + 6u
(6 + 6u) = -2(9u + -2) + 6u

Reorder the terms:
6 + 6u = -2(-2 + 9u) + 6u
6 + 6u = (-2 * -2 + 9u * -2) + 6u
6 + 6u = (4 + -18u) + 6u

Combine like terms: -18u + 6u = -12u
6 + 6u = 4 + -12u

Solving
6 + 6u = 4 + -12u

Solving for variable 'u'.

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

Add '12u' to each side of the equation.
6 + 6u + 12u = 4 + -12u + 12u

Combine like terms: 6u + 12u = 18u
6 + 18u = 4 + -12u + 12u

Combine like terms: -12u + 12u = 0
6 + 18u = 4 + 0
6 + 18u = 4

Add '-6' to each side of the equation.
6 + -6 + 18u = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 18u = 4 + -6
18u = 4 + -6

Combine like terms: 4 + -6 = -2
18u = -2

Divide each side by '18'.
u = -0.1111111111

Simplifying
u = -0.1111111111