6(1+4v)+2(v+2)=-42

Solution for 6(1+4v)+2(v+2)=-42 equation:

Simplifying
6(1 + 4v) + 2(v + 2) = -42
(1 * 6 + 4v * 6) + 2(v + 2) = -42
(6 + 24v) + 2(v + 2) = -42

Reorder the terms:
6 + 24v + 2(2 + v) = -42
6 + 24v + (2 * 2 + v * 2) = -42
6 + 24v + (4 + 2v) = -42

Reorder the terms:
6 + 4 + 24v + 2v = -42

Combine like terms: 6 + 4 = 10
10 + 24v + 2v = -42

Combine like terms: 24v + 2v = 26v
10 + 26v = -42

Solving
10 + 26v = -42

Solving for variable 'v'.

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

Add '-10' to each side of the equation.
10 + -10 + 26v = -42 + -10

Combine like terms: 10 + -10 = 0
0 + 26v = -42 + -10
26v = -42 + -10

Combine like terms: -42 + -10 = -52
26v = -52

Divide each side by '26'.
v = -2

Simplifying
v = -2