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

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

Simplifying
-2n + 4(3 + -1n) = 2(3n + 42)
-2n + (3 * 4 + -1n * 4) = 2(3n + 42)
-2n + (12 + -4n) = 2(3n + 42)

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

Combine like terms: -2n + -4n = -6n
12 + -6n = 2(3n + 42)

Reorder the terms:
12 + -6n = 2(42 + 3n)
12 + -6n = (42 * 2 + 3n * 2)
12 + -6n = (84 + 6n)

Solving
12 + -6n = 84 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + -6n + -6n = 84 + 6n + -6n

Combine like terms: -6n + -6n = -12n
12 + -12n = 84 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + -12n = 84 + 0
12 + -12n = 84

Add '-12' to each side of the equation.
12 + -12 + -12n = 84 + -12

Combine like terms: 12 + -12 = 0
0 + -12n = 84 + -12
-12n = 84 + -12

Combine like terms: 84 + -12 = 72
-12n = 72

Divide each side by '-12'.
n = -6

Simplifying
n = -6