42+12n=12-2(3-8n)

Solution for 42+12n=12-2(3-8n) equation:

Simplifying
42 + 12n = 12 + -2(3 + -8n)
42 + 12n = 12 + (3 * -2 + -8n * -2)
42 + 12n = 12 + (-6 + 16n)

Combine like terms: 12 + -6 = 6
42 + 12n = 6 + 16n

Solving
42 + 12n = 6 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
42 + 12n + -16n = 6 + 16n + -16n

Combine like terms: 12n + -16n = -4n
42 + -4n = 6 + 16n + -16n

Combine like terms: 16n + -16n = 0
42 + -4n = 6 + 0
42 + -4n = 6

Add '-42' to each side of the equation.
42 + -42 + -4n = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -4n = 6 + -42
-4n = 6 + -42

Combine like terms: 6 + -42 = -36
-4n = -36

Divide each side by '-4'.
n = 9

Simplifying
n = 9