3+3(-2n-6)=2(-9n+2)+8

Solution for 3+3(-2n-6)=2(-9n+2)+8 equation:

Simplifying
3 + 3(-2n + -6) = 2(-9n + 2) + 8

Reorder the terms:
3 + 3(-6 + -2n) = 2(-9n + 2) + 8
3 + (-6 * 3 + -2n * 3) = 2(-9n + 2) + 8
3 + (-18 + -6n) = 2(-9n + 2) + 8

Combine like terms: 3 + -18 = -15
-15 + -6n = 2(-9n + 2) + 8

Reorder the terms:
-15 + -6n = 2(2 + -9n) + 8
-15 + -6n = (2 * 2 + -9n * 2) + 8
-15 + -6n = (4 + -18n) + 8

Reorder the terms:
-15 + -6n = 4 + 8 + -18n

Combine like terms: 4 + 8 = 12
-15 + -6n = 12 + -18n

Solving
-15 + -6n = 12 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
-15 + -6n + 18n = 12 + -18n + 18n

Combine like terms: -6n + 18n = 12n
-15 + 12n = 12 + -18n + 18n

Combine like terms: -18n + 18n = 0
-15 + 12n = 12 + 0
-15 + 12n = 12

Add '15' to each side of the equation.
-15 + 15 + 12n = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 12n = 12 + 15
12n = 12 + 15

Combine like terms: 12 + 15 = 27
12n = 27

Divide each side by '12'.
n = 2.25

Simplifying
n = 2.25