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

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

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

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

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

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

Solving
17 + 25v = 42

Solving for variable 'v'.

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

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

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

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

Divide each side by '25'.
v = 1

Simplifying
v = 1