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

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

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

Reorder the terms:
3 = -3(-2 + -3n) + 6(n + -8)
3 = (-2 * -3 + -3n * -3) + 6(n + -8)
3 = (6 + 9n) + 6(n + -8)

Reorder the terms:
3 = 6 + 9n + 6(-8 + n)
3 = 6 + 9n + (-8 * 6 + n * 6)
3 = 6 + 9n + (-48 + 6n)

Reorder the terms:
3 = 6 + -48 + 9n + 6n

Combine like terms: 6 + -48 = -42
3 = -42 + 9n + 6n

Combine like terms: 9n + 6n = 15n
3 = -42 + 15n

Solving
3 = -42 + 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 = -42 + 15n + -15n

Combine like terms: 15n + -15n = 0
3 + -15n = -42 + 0
3 + -15n = -42

Add '-3' to each side of the equation.
3 + -3 + -15n = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -15n = -42 + -3
-15n = -42 + -3

Combine like terms: -42 + -3 = -45
-15n = -45

Divide each side by '-15'.
n = 3

Simplifying
n = 3