2n-27=3(-3n+2)

Solution for 2n-27=3(-3n+2) equation:

Simplifying
2n + -27 = 3(-3n + 2)

Reorder the terms:
-27 + 2n = 3(-3n + 2)

Reorder the terms:
-27 + 2n = 3(2 + -3n)
-27 + 2n = (2 * 3 + -3n * 3)
-27 + 2n = (6 + -9n)

Solving
-27 + 2n = 6 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-27 + 2n + 9n = 6 + -9n + 9n

Combine like terms: 2n + 9n = 11n
-27 + 11n = 6 + -9n + 9n

Combine like terms: -9n + 9n = 0
-27 + 11n = 6 + 0
-27 + 11n = 6

Add '27' to each side of the equation.
-27 + 27 + 11n = 6 + 27

Combine like terms: -27 + 27 = 0
0 + 11n = 6 + 27
11n = 6 + 27

Combine like terms: 6 + 27 = 33
11n = 33

Divide each side by '11'.
n = 3

Simplifying
n = 3