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