3(n+4)-2n=-(2n+6)

Solution for 3(n+4)-2n=-(2n+6) equation:

Simplifying
3(n + 4) + -2n = -1(2n + 6)

Reorder the terms:
3(4 + n) + -2n = -1(2n + 6)
(4 * 3 + n * 3) + -2n = -1(2n + 6)
(12 + 3n) + -2n = -1(2n + 6)

Combine like terms: 3n + -2n = 1n
12 + 1n = -1(2n + 6)

Reorder the terms:
12 + 1n = -1(6 + 2n)
12 + 1n = (6 * -1 + 2n * -1)
12 + 1n = (-6 + -2n)

Solving
12 + 1n = -6 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
12 + 1n + 2n = -6 + -2n + 2n

Combine like terms: 1n + 2n = 3n
12 + 3n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 0
12 + 3n = -6 + 0
12 + 3n = -6

Add '-12' to each side of the equation.
12 + -12 + 3n = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = -6 + -12
3n = -6 + -12

Combine like terms: -6 + -12 = -18
3n = -18

Divide each side by '3'.
n = -6

Simplifying
n = -6