-6(u-1)=6u+42

Solution for -6(u-1)=6u+42 equation:

Simplifying
-6(u + -1) = 6u + 42

Reorder the terms:
-6(-1 + u) = 6u + 42
(-1 * -6 + u * -6) = 6u + 42
(6 + -6u) = 6u + 42

Reorder the terms:
6 + -6u = 42 + 6u

Solving
6 + -6u = 42 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
6 + -6u + -6u = 42 + 6u + -6u

Combine like terms: -6u + -6u = -12u
6 + -12u = 42 + 6u + -6u

Combine like terms: 6u + -6u = 0
6 + -12u = 42 + 0
6 + -12u = 42

Add '-6' to each side of the equation.
6 + -6 + -12u = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -12u = 42 + -6
-12u = 42 + -6

Combine like terms: 42 + -6 = 36
-12u = 36

Divide each side by '-12'.
u = -3

Simplifying
u = -3