3(6+n)+6=6(-1-2n)

Solution for 3(6+n)+6=6(-1-2n) equation:

Simplifying
3(6 + n) + 6 = 6(-1 + -2n)
(6 * 3 + n * 3) + 6 = 6(-1 + -2n)
(18 + 3n) + 6 = 6(-1 + -2n)

Reorder the terms:
18 + 6 + 3n = 6(-1 + -2n)

Combine like terms: 18 + 6 = 24
24 + 3n = 6(-1 + -2n)
24 + 3n = (-1 * 6 + -2n * 6)
24 + 3n = (-6 + -12n)

Solving
24 + 3n = -6 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
24 + 3n + 12n = -6 + -12n + 12n

Combine like terms: 3n + 12n = 15n
24 + 15n = -6 + -12n + 12n

Combine like terms: -12n + 12n = 0
24 + 15n = -6 + 0
24 + 15n = -6

Add '-24' to each side of the equation.
24 + -24 + 15n = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 15n = -6 + -24
15n = -6 + -24

Combine like terms: -6 + -24 = -30
15n = -30

Divide each side by '15'.
n = -2

Simplifying
n = -2