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 = -5
-5 + 24v + 1v = 42

Combine like terms: 24v + 1v = 25v
-5 + 25v = 42

Solving
-5 + 25v = 42

Solving for variable 'v'.

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

Add '5' to each side of the equation.
-5 + 5 + 25v = 42 + 5

Combine like terms: -5 + 5 = 0
0 + 25v = 42 + 5
25v = 42 + 5

Combine like terms: 42 + 5 = 47
25v = 47

Divide each side by '25'.
v = 1.88

Simplifying
v = 1.88