3(1[v+6]1)=42

Solution for 3(1[v+6]1)=42 equation:

Simplifying
3(1[v + 6] * 1) = 42

Reorder the terms:
3(1[6 + v] * 1) = 42

Reorder the terms for easier multiplication:
3(1 * 1[6 + v]) = 42

Multiply 1 * 1
3(1[6 + v]) = 42
3([6 * 1 + v * 1]) = 42
3([6 + 1v]) = 42
(6 * 3 + 1v * 3) = 42
(18 + 3v) = 42

Solving
18 + 3v = 42

Solving for variable 'v'.

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

Add '-18' to each side of the equation.
18 + -18 + 3v = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 3v = 42 + -18
3v = 42 + -18

Combine like terms: 42 + -18 = 24
3v = 24

Divide each side by '3'.
v = 8

Simplifying
v = 8