6(u-1)=2u+6-2(-7u-2)

Solution for 6(u-1)=2u+6-2(-7u-2) equation:

Simplifying
6(u + -1) = 2u + 6 + -2(-7u + -2)

Reorder the terms:
6(-1 + u) = 2u + 6 + -2(-7u + -2)
(-1 * 6 + u * 6) = 2u + 6 + -2(-7u + -2)
(-6 + 6u) = 2u + 6 + -2(-7u + -2)

Reorder the terms:
-6 + 6u = 2u + 6 + -2(-2 + -7u)
-6 + 6u = 2u + 6 + (-2 * -2 + -7u * -2)
-6 + 6u = 2u + 6 + (4 + 14u)

Reorder the terms:
-6 + 6u = 6 + 4 + 2u + 14u

Combine like terms: 6 + 4 = 10
-6 + 6u = 10 + 2u + 14u

Combine like terms: 2u + 14u = 16u
-6 + 6u = 10 + 16u

Solving
-6 + 6u = 10 + 16u

Solving for variable 'u'.

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

Add '-16u' to each side of the equation.
-6 + 6u + -16u = 10 + 16u + -16u

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

Combine like terms: 16u + -16u = 0
-6 + -10u = 10 + 0
-6 + -10u = 10

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

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

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

Divide each side by '-10'.
u = -1.6

Simplifying
u = -1.6