2(3-2n)=-(8n+6)

Solution for 2(3-2n)=-(8n+6) equation:

Simplifying
2(3 + -2n) = -1(8n + 6)
(3 * 2 + -2n * 2) = -1(8n + 6)
(6 + -4n) = -1(8n + 6)

Reorder the terms:
6 + -4n = -1(6 + 8n)
6 + -4n = (6 * -1 + 8n * -1)
6 + -4n = (-6 + -8n)

Solving
6 + -4n = -6 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
6 + -4n + 8n = -6 + -8n + 8n

Combine like terms: -4n + 8n = 4n
6 + 4n = -6 + -8n + 8n

Combine like terms: -8n + 8n = 0
6 + 4n = -6 + 0
6 + 4n = -6

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

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

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

Divide each side by '4'.
n = -3

Simplifying
n = -3