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

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

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

Reorder the terms:
-3(2 + n) = 6(6 + 3n)
(2 * -3 + n * -3) = 6(6 + 3n)
(-6 + -3n) = 6(6 + 3n)
-6 + -3n = (6 * 6 + 3n * 6)
-6 + -3n = (36 + 18n)

Solving
-6 + -3n = 36 + 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.
-6 + -3n + -18n = 36 + 18n + -18n

Combine like terms: -3n + -18n = -21n
-6 + -21n = 36 + 18n + -18n

Combine like terms: 18n + -18n = 0
-6 + -21n = 36 + 0
-6 + -21n = 36

Add '6' to each side of the equation.
-6 + 6 + -21n = 36 + 6

Combine like terms: -6 + 6 = 0
0 + -21n = 36 + 6
-21n = 36 + 6

Combine like terms: 36 + 6 = 42
-21n = 42

Divide each side by '-21'.
n = -2

Simplifying
n = -2