3=-(6+3n)-3(4n-8)

Solution for 3=-(6+3n)-3(4n-8) equation:

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

Reorder the terms:
3 = -6 + -3n + -3(-8 + 4n)
3 = -6 + -3n + (-8 * -3 + 4n * -3)
3 = -6 + -3n + (24 + -12n)

Reorder the terms:
3 = -6 + 24 + -3n + -12n

Combine like terms: -6 + 24 = 18
3 = 18 + -3n + -12n

Combine like terms: -3n + -12n = -15n
3 = 18 + -15n

Solving
3 = 18 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
3 + 15n = 18 + -15n + 15n

Combine like terms: -15n + 15n = 0
3 + 15n = 18 + 0
3 + 15n = 18

Add '-3' to each side of the equation.
3 + -3 + 15n = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 15n = 18 + -3
15n = 18 + -3

Combine like terms: 18 + -3 = 15
15n = 15

Divide each side by '15'.
n = 1

Simplifying
n = 1