6(7-u)+u=-2u-4

Solution for 6(7-u)+u=-2u-4 equation:

Simplifying
6(7 + -1u) + u = -2u + -4
(7 * 6 + -1u * 6) + u = -2u + -4
(42 + -6u) + u = -2u + -4

Combine like terms: -6u + u = -5u
42 + -5u = -2u + -4

Reorder the terms:
42 + -5u = -4 + -2u

Solving
42 + -5u = -4 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
42 + -5u + 2u = -4 + -2u + 2u

Combine like terms: -5u + 2u = -3u
42 + -3u = -4 + -2u + 2u

Combine like terms: -2u + 2u = 0
42 + -3u = -4 + 0
42 + -3u = -4

Add '-42' to each side of the equation.
42 + -42 + -3u = -4 + -42

Combine like terms: 42 + -42 = 0
0 + -3u = -4 + -42
-3u = -4 + -42

Combine like terms: -4 + -42 = -46
-3u = -46

Divide each side by '-3'.
u = 15.33333333

Simplifying
u = 15.33333333