-5n+27=-2n+6(3n+1)

Solution for -5n+27=-2n+6(3n+1) equation:

Simplifying
-5n + 27 = -2n + 6(3n + 1)

Reorder the terms:
27 + -5n = -2n + 6(3n + 1)

Reorder the terms:
27 + -5n = -2n + 6(1 + 3n)
27 + -5n = -2n + (1 * 6 + 3n * 6)
27 + -5n = -2n + (6 + 18n)

Reorder the terms:
27 + -5n = 6 + -2n + 18n

Combine like terms: -2n + 18n = 16n
27 + -5n = 6 + 16n

Solving
27 + -5n = 6 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
27 + -5n + -16n = 6 + 16n + -16n

Combine like terms: -5n + -16n = -21n
27 + -21n = 6 + 16n + -16n

Combine like terms: 16n + -16n = 0
27 + -21n = 6 + 0
27 + -21n = 6

Add '-27' to each side of the equation.
27 + -27 + -21n = 6 + -27

Combine like terms: 27 + -27 = 0
0 + -21n = 6 + -27
-21n = 6 + -27

Combine like terms: 6 + -27 = -21
-21n = -21

Divide each side by '-21'.
n = 1

Simplifying
n = 1