6=2(u+7)+6u

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

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

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

Combine like terms: 2u + 6u = 8u
6 = 14 + 8u

Solving
6 = 14 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
6 + -8u = 14 + 8u + -8u

Combine like terms: 8u + -8u = 0
6 + -8u = 14 + 0
6 + -8u = 14

Add '-6' to each side of the equation.
6 + -6 + -8u = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -8u = 14 + -6
-8u = 14 + -6

Combine like terms: 14 + -6 = 8
-8u = 8

Divide each side by '-8'.
u = -1

Simplifying
u = -1