42=3(4n+2)

Solution for 42=3(4n+2) equation:

Simplifying
42 = 3(4n + 2)

Reorder the terms:
42 = 3(2 + 4n)
42 = (2 * 3 + 4n * 3)
42 = (6 + 12n)

Solving
42 = 6 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
42 + -12n = 6 + 12n + -12n

Combine like terms: 12n + -12n = 0
42 + -12n = 6 + 0
42 + -12n = 6

Add '-42' to each side of the equation.
42 + -42 + -12n = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -12n = 6 + -42
-12n = 6 + -42

Combine like terms: 6 + -42 = -36
-12n = -36

Divide each side by '-12'.
n = 3

Simplifying
n = 3