-[2(n+3)]=2(-4n+3)

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

Simplifying
-1[2(n + 3)] = 2(-4n + 3)

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

Reorder the terms:
-6 + -2n = 2(3 + -4n)
-6 + -2n = (3 * 2 + -4n * 2)
-6 + -2n = (6 + -8n)

Solving
-6 + -2n = 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 + -2n + 8n = 6 + -8n + 8n

Combine like terms: -2n + 8n = 6n
-6 + 6n = 6 + -8n + 8n

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

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

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

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

Divide each side by '6'.
n = 2

Simplifying
n = 2