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

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

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

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

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

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

Solving
6 + 2n = -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.
6 + 2n + 2n = -6 + -2n + 2n

Combine like terms: 2n + 2n = 4n
6 + 4n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 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