6(1+4u)-(-11-u)=42

Solution for 6(1+4u)-(-11-u)=42 equation:

Simplifying
6(1 + 4u) + -1(-11 + -1u) = 42
(1 * 6 + 4u * 6) + -1(-11 + -1u) = 42
(6 + 24u) + -1(-11 + -1u) = 42
6 + 24u + (-11 * -1 + -1u * -1) = 42
6 + 24u + (11 + 1u) = 42

Reorder the terms:
6 + 11 + 24u + 1u = 42

Combine like terms: 6 + 11 = 17
17 + 24u + 1u = 42

Combine like terms: 24u + 1u = 25u
17 + 25u = 42

Solving
17 + 25u = 42

Solving for variable 'u'.

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

Add '-17' to each side of the equation.
17 + -17 + 25u = 42 + -17

Combine like terms: 17 + -17 = 0
0 + 25u = 42 + -17
25u = 42 + -17

Combine like terms: 42 + -17 = 25
25u = 25

Divide each side by '25'.
u = 1

Simplifying
u = 1