(12u-5)-(-11-v)=42

Solution for (12u-5)-(-11-v)=42 equation:

Simplifying
(12u + -5) + -1(-11 + -1v) = 42

Reorder the terms:
(-5 + 12u) + -1(-11 + -1v) = 42

Remove parenthesis around (-5 + 12u)
-5 + 12u + -1(-11 + -1v) = 42
-5 + 12u + (-11 * -1 + -1v * -1) = 42
-5 + 12u + (11 + 1v) = 42

Reorder the terms:
-5 + 11 + 12u + 1v = 42

Combine like terms: -5 + 11 = 6
6 + 12u + 1v = 42

Solving
6 + 12u + 1v = 42

Solving for variable 'u'.

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

Add '-6' to each side of the equation.
6 + 12u + -6 + 1v = 42 + -6

Reorder the terms:
6 + -6 + 12u + 1v = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 12u + 1v = 42 + -6
12u + 1v = 42 + -6

Combine like terms: 42 + -6 = 36
12u + 1v = 36

Add '-1v' to each side of the equation.
12u + 1v + -1v = 36 + -1v

Combine like terms: 1v + -1v = 0
12u + 0 = 36 + -1v
12u = 36 + -1v

Divide each side by '12'.
u = 3 + -0.08333333333v

Simplifying
u = 3 + -0.08333333333v