-42=-2(3-4n)+n

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

Simplifying
-42 = -2(3 + -4n) + n
-42 = (3 * -2 + -4n * -2) + n
-42 = (-6 + 8n) + n

Combine like terms: 8n + n = 9n
-42 = -6 + 9n

Solving
-42 = -6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-42 + -9n = -6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-42 + -9n = -6 + 0
-42 + -9n = -6

Add '42' to each side of the equation.
-42 + 42 + -9n = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -9n = -6 + 42
-9n = -6 + 42

Combine like terms: -6 + 42 = 36
-9n = 36

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

Simplifying
n = -4